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Finding the Third Proportional to 126,436 and 268,962

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Solution

The third proportional to 126,436 and 268,962 is: 572,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,436 : 268,962 = 268,962 : x
  2. Step 2: Convert to fraction form
    126,436/268,962 = 268,962/x
  3. Step 3: Cross multiply
    126,436x = 268,962 × 268,962
  4. Step 4: Simplify right side
    126,436x = 72,340,557,444
  5. Step 5: Solve for x
    x = 72,340,557,444/126,436
  6. Step 6: Final answer
    x = 572,151.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.