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Finding the Third Proportional to 126,559 and 267,348

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Solution

The third proportional to 126,559 and 267,348 is: 564,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,559 : 267,348 = 267,348 : x
  2. Step 2: Convert to fraction form
    126,559/267,348 = 267,348/x
  3. Step 3: Cross multiply
    126,559x = 267,348 × 267,348
  4. Step 4: Simplify right side
    126,559x = 71,474,953,104
  5. Step 5: Solve for x
    x = 71,474,953,104/126,559
  6. Step 6: Final answer
    x = 564,755.99

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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.