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Finding the Third Proportional to 95,465.25 and 188,520.75

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Solution

The third proportional to 95,465.25 and 188,520.75 is: 372,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,465.25 : 188,520.75 = 188,520.75 : x
  2. Step 2: Convert to fraction form
    95,465.25/188,520.75 = 188,520.75/x
  3. Step 3: Cross multiply
    95,465.25x = 188,520.75 × 188,520.75
  4. Step 4: Simplify right side
    95,465.25x = 35,540,073,180.56
  5. Step 5: Solve for x
    x = 35,540,073,180.56/95,465.25
  6. Step 6: Final answer
    x = 372,282.83

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.