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Finding the Third Proportional to 87,414.75 and 128,229.75

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Solution

The third proportional to 87,414.75 and 128,229.75 is: 188,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,414.75 : 128,229.75 = 128,229.75 : x
  2. Step 2: Convert to fraction form
    87,414.75/128,229.75 = 128,229.75/x
  3. Step 3: Cross multiply
    87,414.75x = 128,229.75 × 128,229.75
  4. Step 4: Simplify right side
    87,414.75x = 16,442,868,785.06
  5. Step 5: Solve for x
    x = 16,442,868,785.06/87,414.75
  6. Step 6: Final answer
    x = 188,101.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.