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Finding the Third Proportional to 54,037 and 80,839.50

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Solution

The third proportional to 54,037 and 80,839.50 is: 120,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,037 : 80,839.50 = 80,839.50 : x
  2. Step 2: Convert to fraction form
    54,037/80,839.50 = 80,839.50/x
  3. Step 3: Cross multiply
    54,037x = 80,839.50 × 80,839.50
  4. Step 4: Simplify right side
    54,037x = 6,535,024,760.25
  5. Step 5: Solve for x
    x = 6,535,024,760.25/54,037
  6. Step 6: Final answer
    x = 120,936.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.