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Finding the Third Proportional to 87,735 and 131,017

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Solution

The third proportional to 87,735 and 131,017 is: 195,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,735 : 131,017 = 131,017 : x
  2. Step 2: Convert to fraction form
    87,735/131,017 = 131,017/x
  3. Step 3: Cross multiply
    87,735x = 131,017 × 131,017
  4. Step 4: Simplify right side
    87,735x = 17,165,454,289
  5. Step 5: Solve for x
    x = 17,165,454,289/87,735
  6. Step 6: Final answer
    x = 195,651.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.