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Finding the Third Proportional to 62,380.13 and 96,769.69

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Solution

The third proportional to 62,380.13 and 96,769.69 is: 150,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,380.13 : 96,769.69 = 96,769.69 : x
  2. Step 2: Convert to fraction form
    62,380.13/96,769.69 = 96,769.69/x
  3. Step 3: Cross multiply
    62,380.13x = 96,769.69 × 96,769.69
  4. Step 4: Simplify right side
    62,380.13x = 9,364,372,418.85
  5. Step 5: Solve for x
    x = 9,364,372,418.85/62,380.13
  6. Step 6: Final answer
    x = 150,117.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.