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Finding the Third Proportional to 126,687 and 273,675

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Solution

The third proportional to 126,687 and 273,675 is: 591,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,687 : 273,675 = 273,675 : x
  2. Step 2: Convert to fraction form
    126,687/273,675 = 273,675/x
  3. Step 3: Cross multiply
    126,687x = 273,675 × 273,675
  4. Step 4: Simplify right side
    126,687x = 74,898,005,625
  5. Step 5: Solve for x
    x = 74,898,005,625/126,687
  6. Step 6: Final answer
    x = 591,205.14

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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.