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Finding the Third Proportional to 62,493 and 89,302

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Solution

The third proportional to 62,493 and 89,302 is: 127,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,493 : 89,302 = 89,302 : x
  2. Step 2: Convert to fraction form
    62,493/89,302 = 89,302/x
  3. Step 3: Cross multiply
    62,493x = 89,302 × 89,302
  4. Step 4: Simplify right side
    62,493x = 7,974,847,204
  5. Step 5: Solve for x
    x = 7,974,847,204/62,493
  6. Step 6: Final answer
    x = 127,611.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.