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Finding the Third Proportional to 126,616 and 267,462

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Solution

The third proportional to 126,616 and 267,462 is: 564,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,616 : 267,462 = 267,462 : x
  2. Step 2: Convert to fraction form
    126,616/267,462 = 267,462/x
  3. Step 3: Cross multiply
    126,616x = 267,462 × 267,462
  4. Step 4: Simplify right side
    126,616x = 71,535,921,444
  5. Step 5: Solve for x
    x = 71,535,921,444/126,616
  6. Step 6: Final answer
    x = 564,983.27

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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.