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Finding the Third Proportional to 41,611 and 90,626

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Solution

The third proportional to 41,611 and 90,626 is: 197,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,611 : 90,626 = 90,626 : x
  2. Step 2: Convert to fraction form
    41,611/90,626 = 90,626/x
  3. Step 3: Cross multiply
    41,611x = 90,626 × 90,626
  4. Step 4: Simplify right side
    41,611x = 8,213,071,876
  5. Step 5: Solve for x
    x = 8,213,071,876/41,611
  6. Step 6: Final answer
    x = 197,377.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.