Tallest Tree: <<150=150>>150 feet

Middle Tree:150(2/3)=300/3=100 feet

Shortest Tree:100/2=<<100/2=50>>50 feet

# Answer

50
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
There are three trees in the town square. The tallest tree is 150 feet tall. The middle height tree is 2/3 the height of the tallest tree. The shortest tree is half the size of the middle tree.  How tall is the shortest tree?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
50
There are three trees in the town square. The tallest tree is 150 feet tall. The middle height tree is 2/3 the height of the tallest tree. The shortest tree is half the size of the middle tree.  How tall is the shortest tree?
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