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Finding the Third Proportional to 126,269 and 272,567

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Solution

The third proportional to 126,269 and 272,567 is: 588,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,269 : 272,567 = 272,567 : x
  2. Step 2: Convert to fraction form
    126,269/272,567 = 272,567/x
  3. Step 3: Cross multiply
    126,269x = 272,567 × 272,567
  4. Step 4: Simplify right side
    126,269x = 74,292,769,489
  5. Step 5: Solve for x
    x = 74,292,769,489/126,269
  6. Step 6: Final answer
    x = 588,369.03

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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.