By 2019 estimates, Minnesota has roughly 4,337,000 people age 18 and up. 75% of that is 3,252,750.
As of today, 599,218 people in the state have been given at least one vaccine dose. So Minnesota is 18% of the way towards getting 75% of its adult populated started on the vaccine.
Using last week’s rate of 200,000 doses administered means it would take 13–14 weeks to get 75% of adult Minnesotans started on the vaccine.