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Finding the Third Proportional to 111,666.94 and 173,042.16

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Solution

The third proportional to 111,666.94 and 173,042.16 is: 268,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,666.94 : 173,042.16 = 173,042.16 : x
  2. Step 2: Convert to fraction form
    111,666.94/173,042.16 = 173,042.16/x
  3. Step 3: Cross multiply
    111,666.94x = 173,042.16 × 173,042.16
  4. Step 4: Simplify right side
    111,666.94x = 29,943,587,839.65
  5. Step 5: Solve for x
    x = 29,943,587,839.65/111,666.94
  6. Step 6: Final answer
    x = 268,150.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.