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Finding the Third Proportional to 41,251.50 and 84,690

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Solution

The third proportional to 41,251.50 and 84,690 is: 173,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,251.50 : 84,690 = 84,690 : x
  2. Step 2: Convert to fraction form
    41,251.50/84,690 = 84,690/x
  3. Step 3: Cross multiply
    41,251.50x = 84,690 × 84,690
  4. Step 4: Simplify right side
    41,251.50x = 7,172,396,100
  5. Step 5: Solve for x
    x = 7,172,396,100/41,251.50
  6. Step 6: Final answer
    x = 173,869.95

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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.