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Finding the Third Proportional to 41,437 and 90,711

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Solution

The third proportional to 41,437 and 90,711 is: 198,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,437 : 90,711 = 90,711 : x
  2. Step 2: Convert to fraction form
    41,437/90,711 = 90,711/x
  3. Step 3: Cross multiply
    41,437x = 90,711 × 90,711
  4. Step 4: Simplify right side
    41,437x = 8,228,485,521
  5. Step 5: Solve for x
    x = 8,228,485,521/41,437
  6. Step 6: Final answer
    x = 198,578.22

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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.