I applied to four universities and was accepted by all of them. (http://www.ldoceonline.com/dictionary/apply) Many high school students have begun applying for college. (http://www.learnersdictionary.com/definition/apply)
The two sentences are cited from Webster dictionary and Longman dictionary respectively. I am confused with which preposition (to or for) should I use if I want to say "to request admission to a university". I think "to" is a proper preposition. Why does the second sentence use "to"?