Eventually , Lulu goes out and comes back with a third client ( played by the same actor as Dr. SchÃ n , Lulu 's third husband ) . Geschwitz returns and contemplates suicide , but is interrupted by Lulu who returns with a third client , Jack the Ripper ( played by singer who played Dr. SchÃ n , Lulu 's third husband ) . Lulu seems drawn to him and eventually offers to give herself to him without payment .