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Finding the Third Proportional to 87,514.17 and 135,373.78

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Solution

The third proportional to 87,514.17 and 135,373.78 is: 209,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,514.17 : 135,373.78 = 135,373.78 : x
  2. Step 2: Convert to fraction form
    87,514.17/135,373.78 = 135,373.78/x
  3. Step 3: Cross multiply
    87,514.17x = 135,373.78 × 135,373.78
  4. Step 4: Simplify right side
    87,514.17x = 18,326,060,649.92
  5. Step 5: Solve for x
    x = 18,326,060,649.92/87,514.17
  6. Step 6: Final answer
    x = 209,406.78

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Why These Related Problems?

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