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Finding the Third Proportional to 126,566 and 267,363

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Solution

The third proportional to 126,566 and 267,363 is: 564,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,566 : 267,363 = 267,363 : x
  2. Step 2: Convert to fraction form
    126,566/267,363 = 267,363/x
  3. Step 3: Cross multiply
    126,566x = 267,363 × 267,363
  4. Step 4: Simplify right side
    126,566x = 71,482,973,769
  5. Step 5: Solve for x
    x = 71,482,973,769/126,566
  6. Step 6: Final answer
    x = 564,788.12

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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.