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Finding the Third Proportional to 61,494 and 125,868

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Solution

The third proportional to 61,494 and 125,868 is: 257,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,494 : 125,868 = 125,868 : x
  2. Step 2: Convert to fraction form
    61,494/125,868 = 125,868/x
  3. Step 3: Cross multiply
    61,494x = 125,868 × 125,868
  4. Step 4: Simplify right side
    61,494x = 15,842,753,424
  5. Step 5: Solve for x
    x = 15,842,753,424/61,494
  6. Step 6: Final answer
    x = 257,630.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.