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Finding the Third Proportional to 126,694 and 267,692

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Solution

The third proportional to 126,694 and 267,692 is: 565,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,694 : 267,692 = 267,692 : x
  2. Step 2: Convert to fraction form
    126,694/267,692 = 267,692/x
  3. Step 3: Cross multiply
    126,694x = 267,692 × 267,692
  4. Step 4: Simplify right side
    126,694x = 71,659,006,864
  5. Step 5: Solve for x
    x = 71,659,006,864/126,694
  6. Step 6: Final answer
    x = 565,606.95

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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.