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Finding the Third Proportional to 87,537 and 127,479

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Solution

The third proportional to 87,537 and 127,479 is: 185,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,537 : 127,479 = 127,479 : x
  2. Step 2: Convert to fraction form
    87,537/127,479 = 127,479/x
  3. Step 3: Cross multiply
    87,537x = 127,479 × 127,479
  4. Step 4: Simplify right side
    87,537x = 16,250,895,441
  5. Step 5: Solve for x
    x = 16,250,895,441/87,537
  6. Step 6: Final answer
    x = 185,646.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.