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Finding the Third Proportional to 96,752.25 and 149,439.38

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Solution

The third proportional to 96,752.25 and 149,439.38 is: 230,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,752.25 : 149,439.38 = 149,439.38 : x
  2. Step 2: Convert to fraction form
    96,752.25/149,439.38 = 149,439.38/x
  3. Step 3: Cross multiply
    96,752.25x = 149,439.38 × 149,439.38
  4. Step 4: Simplify right side
    96,752.25x = 22,332,126,800.39
  5. Step 5: Solve for x
    x = 22,332,126,800.39/96,752.25
  6. Step 6: Final answer
    x = 230,817.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.