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Finding the Third Proportional to 126,535.50 and 267,291

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Solution

The third proportional to 126,535.50 and 267,291 is: 564,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,535.50 : 267,291 = 267,291 : x
  2. Step 2: Convert to fraction form
    126,535.50/267,291 = 267,291/x
  3. Step 3: Cross multiply
    126,535.50x = 267,291 × 267,291
  4. Step 4: Simplify right side
    126,535.50x = 71,444,478,681
  5. Step 5: Solve for x
    x = 71,444,478,681/126,535.50
  6. Step 6: Final answer
    x = 564,620.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.