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Finding the Third Proportional to 126,597 and 272,877

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Solution

The third proportional to 126,597 and 272,877 is: 588,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,597 : 272,877 = 272,877 : x
  2. Step 2: Convert to fraction form
    126,597/272,877 = 272,877/x
  3. Step 3: Cross multiply
    126,597x = 272,877 × 272,877
  4. Step 4: Simplify right side
    126,597x = 74,461,857,129
  5. Step 5: Solve for x
    x = 74,461,857,129/126,597
  6. Step 6: Final answer
    x = 588,180.27

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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.