
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 population of a certain city was 117,751 on January 1, 1950. The average annual increase due to relocation (moving in and moving out) is estimated at 640 people, while the natural growth rate is $0.87\%$ per year.

a) What will the population be on January 1, 1960?

b) What is the annual growth percentage?

c) Under the same conditions, in which year will the city reach a population of $200,000$?

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