
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
The number \( a \) is \( 80\% \) of the number \( b \), and the number \( c \) is \( 140\% \) of the number \( b \). Find the numbers \( a \), \( b \), and \( c \) if it is known that \( c \) is greater than \( a \) by 72.

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