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Finding the Third Proportional to 103,632 and 131,448

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Solution

The third proportional to 103,632 and 131,448 is: 166,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,632 : 131,448 = 131,448 : x
  2. Step 2: Convert to fraction form
    103,632/131,448 = 131,448/x
  3. Step 3: Cross multiply
    103,632x = 131,448 × 131,448
  4. Step 4: Simplify right side
    103,632x = 17,278,576,704
  5. Step 5: Solve for x
    x = 17,278,576,704/103,632
  6. Step 6: Final answer
    x = 166,730.13

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.