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Finding the Third Proportional to 41,917 and 88,676

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Solution

The third proportional to 41,917 and 88,676 is: 187,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,917 : 88,676 = 88,676 : x
  2. Step 2: Convert to fraction form
    41,917/88,676 = 88,676/x
  3. Step 3: Cross multiply
    41,917x = 88,676 × 88,676
  4. Step 4: Simplify right side
    41,917x = 7,863,432,976
  5. Step 5: Solve for x
    x = 7,863,432,976/41,917
  6. Step 6: Final answer
    x = 187,595.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.