
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
An error of $.03''$ is made in the measurement of a line $15''$ long, while an error of $.25''$ is made in a measurement of a line $125''$ long. Calculate the ratio of the relative error of the second measurement to the relative error of the first measurement.

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