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Finding the Third Proportional to 44,981 and 67,227

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Solution

The third proportional to 44,981 and 67,227 is: 100,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,981 : 67,227 = 67,227 : x
  2. Step 2: Convert to fraction form
    44,981/67,227 = 67,227/x
  3. Step 3: Cross multiply
    44,981x = 67,227 × 67,227
  4. Step 4: Simplify right side
    44,981x = 4,519,469,529
  5. Step 5: Solve for x
    x = 4,519,469,529/44,981
  6. Step 6: Final answer
    x = 100,475.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.