Here's an interesting discussion of "ing" versus "in." According to this scholar, the historically correct pronumnciation is "in." "Ing" later came into vogue under the influence of spelling.
In the early part of the Twentieth Century the British upper crust dropped the g as a class affectation, while hoi polloi said "ing." (American actors trying to fake a British upper class accent still do this. :

)
http://www.languagehat.com/archives/003514.php
The former governor of Michigan, Jennifer Granholm, got her start in show business by appearing on the Dating Game. She parlayed the experience into a political career.

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