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Finding the Third Proportional to 57,369 and 80,644.50

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Solution

The third proportional to 57,369 and 80,644.50 is: 113,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,369 : 80,644.50 = 80,644.50 : x
  2. Step 2: Convert to fraction form
    57,369/80,644.50 = 80,644.50/x
  3. Step 3: Cross multiply
    57,369x = 80,644.50 × 80,644.50
  4. Step 4: Simplify right side
    57,369x = 6,503,535,380.25
  5. Step 5: Solve for x
    x = 6,503,535,380.25/57,369
  6. Step 6: Final answer
    x = 113,363.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.