In his third term he continued to be a leading member of the committees on which he served. He was Chairman of Western Hemisphere Affairs subcommittee of the Foreign Relations Committee. McGee was a voice of moderation in the affairs of the Watergate scandal and the impeachment proceedings of President Richard Nixon. Against the wishes of many of his constituents, McGee stood on principle and fought hard for positions unpopular in Wyoming in support of gas rationing and the 55-mile per hour speed limit in the era of the first Arab oil embargoes. Protection of bald and golden eagles In his third Senate term, McGee gave up the gavel of the Foreign Operations Appropriations Subcommittee to become Chairman of Agriculture, Environmental and Consumer Protection Appropriations Subcommittee. He would remain Chairman of that subcommittee until he left the Senate. At an August 1971 hearing held by McGee's subcommittee, a Wyoming helicopter pilot testified that sheep ranchers paid him to fly near eagles which they killed with shotguns. About 500 bald eagles were destroyed in this manner, the pilot said. The Wyoming Woolgrowers Association had claimed that 8,000 lambs were lost to eagles annually, and the group's president declared he had seen eagles kill grown sheep and antelope. Conservationists disputed the figures and said that eagles seldom touched lambs unless they were already dead. A University of Montana study of prey items collected from 40 golden eagle nests over a three-year period found evidence of only one dead lamb and one dead sheep, with no proof they had been killed by eagles. In October 1972, Congress approved legislation strengthening the penalties imposed for violations of Bald Eagle Protection Act of 1940. 27th U.N. General Assembly (1972) A long-time supporter of the United Nations, McGee was appointed by President Richard Nixon to a four-member congressional delegation to represent the United States at the United Nations' 27th General Assembly in 1972. His chief assignment at the Assembly was to get the United Nations members to agree to lower the U.S.'s share annual dues from 31 percent to 25 percent - a difference of $13 million. Both the House and Senate had already passed measures to limit the United States' contribution to the U.N. But each country's share is ultimately decided by a majority of the 130 member nations. Through the efforts of McGee, along with U.S. Ambassador to the U.N. George Bush, the U.N.