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Finding the Third Proportional to 125,160 and 260,676

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Solution

The third proportional to 125,160 and 260,676 is: 542,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,160 : 260,676 = 260,676 : x
  2. Step 2: Convert to fraction form
    125,160/260,676 = 260,676/x
  3. Step 3: Cross multiply
    125,160x = 260,676 × 260,676
  4. Step 4: Simplify right side
    125,160x = 67,951,976,976
  5. Step 5: Solve for x
    x = 67,951,976,976/125,160
  6. Step 6: Final answer
    x = 542,920.88

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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.