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Finding the Third Proportional to 126,447 and 272,496

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Solution

The third proportional to 126,447 and 272,496 is: 587,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,447 : 272,496 = 272,496 : x
  2. Step 2: Convert to fraction form
    126,447/272,496 = 272,496/x
  3. Step 3: Cross multiply
    126,447x = 272,496 × 272,496
  4. Step 4: Simplify right side
    126,447x = 74,254,070,016
  5. Step 5: Solve for x
    x = 74,254,070,016/126,447
  6. Step 6: Final answer
    x = 587,234.73

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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.