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Finding the Third Proportional to 60,531 and 123,520.50

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Solution

The third proportional to 60,531 and 123,520.50 is: 252,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,531 : 123,520.50 = 123,520.50 : x
  2. Step 2: Convert to fraction form
    60,531/123,520.50 = 123,520.50/x
  3. Step 3: Cross multiply
    60,531x = 123,520.50 × 123,520.50
  4. Step 4: Simplify right side
    60,531x = 15,257,313,920.25
  5. Step 5: Solve for x
    x = 15,257,313,920.25/60,531
  6. Step 6: Final answer
    x = 252,057.85

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.