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Finding the Third Proportional to 41,589 and 90,874

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Solution

The third proportional to 41,589 and 90,874 is: 198,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589 : 90,874 = 90,874 : x
  2. Step 2: Convert to fraction form
    41,589/90,874 = 90,874/x
  3. Step 3: Cross multiply
    41,589x = 90,874 × 90,874
  4. Step 4: Simplify right side
    41,589x = 8,258,083,876
  5. Step 5: Solve for x
    x = 8,258,083,876/41,589
  6. Step 6: Final answer
    x = 198,564.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.