
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a diagram, triangle $PQR$ has points $S$ and $T$ on line segment $QR$, dividing $QR$ into three segments $QS$, $ST$, and $TR$ such that $QS:ST:TR = 2:5:3$. The area of $\triangle PQS$ is $60$ square centimeters. What is the area of $\triangle PTR$?

Present the answer in LaTex format: \boxed{Your answer}
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