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Finding the Third Proportional to 126,460 and 272,624

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Solution

The third proportional to 126,460 and 272,624 is: 587,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,460 : 272,624 = 272,624 : x
  2. Step 2: Convert to fraction form
    126,460/272,624 = 272,624/x
  3. Step 3: Cross multiply
    126,460x = 272,624 × 272,624
  4. Step 4: Simplify right side
    126,460x = 74,323,845,376
  5. Step 5: Solve for x
    x = 74,323,845,376/126,460
  6. Step 6: Final answer
    x = 587,726.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.