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Finding the Third Proportional to 126,664 and 267,632

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Solution

The third proportional to 126,664 and 267,632 is: 565,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,664 : 267,632 = 267,632 : x
  2. Step 2: Convert to fraction form
    126,664/267,632 = 267,632/x
  3. Step 3: Cross multiply
    126,664x = 267,632 × 267,632
  4. Step 4: Simplify right side
    126,664x = 71,626,887,424
  5. Step 5: Solve for x
    x = 71,626,887,424/126,664
  6. Step 6: Final answer
    x = 565,487.33

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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.