This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
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Step 1: Analyze the first example. The first triangle has 108 at the top and 9 and 12 at the bottom. We observe that the product of the two bottom numbers equals the top number:
Step 2: Analyze the second example. The second triangle has 108 at the top and 9, 12, and 12 at the bottom. Applying the same pattern from Step 1, we take the product of the first two bottom numbers: This matches the top number. The third number (12) at the bottom right is not used in this pattern.
Step 3: State the general rule. The pattern demonstrated by these examples is that the number at the top of the triangle is the product of the two numbers in the bottom-left and bottom-center positions.
The rule is:
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Analyze the first example. The first triangle has 108 at the top and 9 and 12 at the bottom.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.