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Finding the Third Proportional to 124,129 and 267,942

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Solution

The third proportional to 124,129 and 267,942 is: 578,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,129 : 267,942 = 267,942 : x
  2. Step 2: Convert to fraction form
    124,129/267,942 = 267,942/x
  3. Step 3: Cross multiply
    124,129x = 267,942 × 267,942
  4. Step 4: Simplify right side
    124,129x = 71,792,915,364
  5. Step 5: Solve for x
    x = 71,792,915,364/124,129
  6. Step 6: Final answer
    x = 578,373.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.