
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 newly developed scenic area, the number of tourists in February increased by $60\%$ compared to January, and the number of tourists in March decreased by $10\%$ compared to February.  
$(1)$ If the number of tourists in January is $a$ thousand people, please fill in the table with algebraic expressions containing $a$:  

| Month | 1 | 2 | 3 |
|-------|---|---|---|
| Number of Tourists (thousand people) | $a$ | ______ | ______ |

$(2)$ Find the monthly average growth rate of tourists in the scenic area in February and March.

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