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Finding the Third Proportional to 41,118 and 85,478

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Solution

The third proportional to 41,118 and 85,478 is: 177,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,118 : 85,478 = 85,478 : x
  2. Step 2: Convert to fraction form
    41,118/85,478 = 85,478/x
  3. Step 3: Cross multiply
    41,118x = 85,478 × 85,478
  4. Step 4: Simplify right side
    41,118x = 7,306,488,484
  5. Step 5: Solve for x
    x = 7,306,488,484/41,118
  6. Step 6: Final answer
    x = 177,695.62

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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.