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Finding the Third Proportional to 57,991.50 and 89,793

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Solution

The third proportional to 57,991.50 and 89,793 is: 139,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,991.50 : 89,793 = 89,793 : x
  2. Step 2: Convert to fraction form
    57,991.50/89,793 = 89,793/x
  3. Step 3: Cross multiply
    57,991.50x = 89,793 × 89,793
  4. Step 4: Simplify right side
    57,991.50x = 8,062,782,849
  5. Step 5: Solve for x
    x = 8,062,782,849/57,991.50
  6. Step 6: Final answer
    x = 139,033.87

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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.