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Finding the Third Proportional to 67,132.13 and 146,245.50

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Solution

The third proportional to 67,132.13 and 146,245.50 is: 318,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132.13 : 146,245.50 = 146,245.50 : x
  2. Step 2: Convert to fraction form
    67,132.13/146,245.50 = 146,245.50/x
  3. Step 3: Cross multiply
    67,132.13x = 146,245.50 × 146,245.50
  4. Step 4: Simplify right side
    67,132.13x = 21,387,746,270.25
  5. Step 5: Solve for x
    x = 21,387,746,270.25/67,132.13
  6. Step 6: Final answer
    x = 318,591.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.