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Finding the Third Proportional to 125,162 and 260,680

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Solution

The third proportional to 125,162 and 260,680 is: 542,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,162 : 260,680 = 260,680 : x
  2. Step 2: Convert to fraction form
    125,162/260,680 = 260,680/x
  3. Step 3: Cross multiply
    125,162x = 260,680 × 260,680
  4. Step 4: Simplify right side
    125,162x = 67,954,062,400
  5. Step 5: Solve for x
    x = 67,954,062,400/125,162
  6. Step 6: Final answer
    x = 542,928.86

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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.