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Finding the Third Proportional to 57,013.50 and 80,196.75

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Solution

The third proportional to 57,013.50 and 80,196.75 is: 112,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,013.50 : 80,196.75 = 80,196.75 : x
  2. Step 2: Convert to fraction form
    57,013.50/80,196.75 = 80,196.75/x
  3. Step 3: Cross multiply
    57,013.50x = 80,196.75 × 80,196.75
  4. Step 4: Simplify right side
    57,013.50x = 6,431,518,710.56
  5. Step 5: Solve for x
    x = 6,431,518,710.56/57,013.50
  6. Step 6: Final answer
    x = 112,806.94

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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.