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Finding the Third Proportional to 125,166 and 260,691

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Solution

The third proportional to 125,166 and 260,691 is: 542,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,166 : 260,691 = 260,691 : x
  2. Step 2: Convert to fraction form
    125,166/260,691 = 260,691/x
  3. Step 3: Cross multiply
    125,166x = 260,691 × 260,691
  4. Step 4: Simplify right side
    125,166x = 67,959,797,481
  5. Step 5: Solve for x
    x = 67,959,797,481/125,166
  6. Step 6: Final answer
    x = 542,957.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.