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Finding the Third Proportional to 126,681.75 and 273,663

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Solution

The third proportional to 126,681.75 and 273,663 is: 591,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,681.75 : 273,663 = 273,663 : x
  2. Step 2: Convert to fraction form
    126,681.75/273,663 = 273,663/x
  3. Step 3: Cross multiply
    126,681.75x = 273,663 × 273,663
  4. Step 4: Simplify right side
    126,681.75x = 74,891,437,569
  5. Step 5: Solve for x
    x = 74,891,437,569/126,681.75
  6. Step 6: Final answer
    x = 591,177.79

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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.