Hide applications in contextual menu 'Open with' from an other OS X installation
Does excluding the other Applications folder from Spotlight fix the problem?

In System Preference:



After you've added the folder in Spotlight, you'll can refresh the "Open with..." list by running this command in Terminal:

/System/Library/Frameworks/CoreServices.framework/Frameworks/LaunchServices.fra‌​mework/Support/lsregister -kill -r -domain local -domain system -domain user