Final answer:
Green Bay is located in the state of Wisconsin and is home to the Green Bay Packers, the only non-profit community owner major sports team in the US.
Step-by-step explanation:
The state that has Green Bay, at the southern extension of Lake Michigan, and the only non-profit community owner major sports team in the US, who play at Lambeau Field, Kenosha, Racine, Waukesha, Oshkosh, and La Crosse, is Wisconsin.
Lambeau Field is the home stadium of the Green Bay Packers, the NFL team that is owned by the community and is the only one of its kind in the US. It is located in Green Bay, which is in the northeastern part of Wisconsin, and sits at the southern extension of Lake Michigan.
Other cities mentioned in the question, Kenosha, Racine, Waukesha, Oshkosh, and La Crosse, are all located in Wisconsin as well.