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Finding the Third Proportional to 126,614 and 267,457

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Solution

The third proportional to 126,614 and 267,457 is: 564,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,614 : 267,457 = 267,457 : x
  2. Step 2: Convert to fraction form
    126,614/267,457 = 267,457/x
  3. Step 3: Cross multiply
    126,614x = 267,457 × 267,457
  4. Step 4: Simplify right side
    126,614x = 71,533,246,849
  5. Step 5: Solve for x
    x = 71,533,246,849/126,614
  6. Step 6: Final answer
    x = 564,971.07

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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.