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Finding the Third Proportional to 126,062 and 272,452

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Solution

The third proportional to 126,062 and 272,452 is: 588,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,062 : 272,452 = 272,452 : x
  2. Step 2: Convert to fraction form
    126,062/272,452 = 272,452/x
  3. Step 3: Cross multiply
    126,062x = 272,452 × 272,452
  4. Step 4: Simplify right side
    126,062x = 74,230,092,304
  5. Step 5: Solve for x
    x = 74,230,092,304/126,062
  6. Step 6: Final answer
    x = 588,837.97

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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.