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Finding the Third Proportional to 41,942 and 61,183

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Solution

The third proportional to 41,942 and 61,183 is: 89,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,942 : 61,183 = 61,183 : x
  2. Step 2: Convert to fraction form
    41,942/61,183 = 61,183/x
  3. Step 3: Cross multiply
    41,942x = 61,183 × 61,183
  4. Step 4: Simplify right side
    41,942x = 3,743,359,489
  5. Step 5: Solve for x
    x = 3,743,359,489/41,942
  6. Step 6: Final answer
    x = 89,250.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.