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Finding the Third Proportional to 41,965 and 91,234

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Solution

The third proportional to 41,965 and 91,234 is: 198,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,965 : 91,234 = 91,234 : x
  2. Step 2: Convert to fraction form
    41,965/91,234 = 91,234/x
  3. Step 3: Cross multiply
    41,965x = 91,234 × 91,234
  4. Step 4: Simplify right side
    41,965x = 8,323,642,756
  5. Step 5: Solve for x
    x = 8,323,642,756/41,965
  6. Step 6: Final answer
    x = 198,347.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.