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Finding the Third Proportional to 126,508 and 272,564

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Solution

The third proportional to 126,508 and 272,564 is: 587,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,508 : 272,564 = 272,564 : x
  2. Step 2: Convert to fraction form
    126,508/272,564 = 272,564/x
  3. Step 3: Cross multiply
    126,508x = 272,564 × 272,564
  4. Step 4: Simplify right side
    126,508x = 74,291,134,096
  5. Step 5: Solve for x
    x = 74,291,134,096/126,508
  6. Step 6: Final answer
    x = 587,244.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.