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Finding the Third Proportional to 41,892 and 91,182

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Solution

The third proportional to 41,892 and 91,182 is: 198,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,892 : 91,182 = 91,182 : x
  2. Step 2: Convert to fraction form
    41,892/91,182 = 91,182/x
  3. Step 3: Cross multiply
    41,892x = 91,182 × 91,182
  4. Step 4: Simplify right side
    41,892x = 8,314,157,124
  5. Step 5: Solve for x
    x = 8,314,157,124/41,892
  6. Step 6: Final answer
    x = 198,466.46

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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.