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Finding the Third Proportional to 126,972 and 273,060

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Solution

The third proportional to 126,972 and 273,060 is: 587,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,972 : 273,060 = 273,060 : x
  2. Step 2: Convert to fraction form
    126,972/273,060 = 273,060/x
  3. Step 3: Cross multiply
    126,972x = 273,060 × 273,060
  4. Step 4: Simplify right side
    126,972x = 74,561,763,600
  5. Step 5: Solve for x
    x = 74,561,763,600/126,972
  6. Step 6: Final answer
    x = 587,229.97

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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.