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Finding the Third Proportional to 57,469.50 and 89,193

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Solution

The third proportional to 57,469.50 and 89,193 is: 138,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,469.50 : 89,193 = 89,193 : x
  2. Step 2: Convert to fraction form
    57,469.50/89,193 = 89,193/x
  3. Step 3: Cross multiply
    57,469.50x = 89,193 × 89,193
  4. Step 4: Simplify right side
    57,469.50x = 7,955,391,249
  5. Step 5: Solve for x
    x = 7,955,391,249/57,469.50
  6. Step 6: Final answer
    x = 138,428.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.