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Finding the Third Proportional to 95,326.50 and 188,259

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Solution

The third proportional to 95,326.50 and 188,259 is: 371,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,326.50 : 188,259 = 188,259 : x
  2. Step 2: Convert to fraction form
    95,326.50/188,259 = 188,259/x
  3. Step 3: Cross multiply
    95,326.50x = 188,259 × 188,259
  4. Step 4: Simplify right side
    95,326.50x = 35,441,451,081
  5. Step 5: Solve for x
    x = 35,441,451,081/95,326.50
  6. Step 6: Final answer
    x = 371,790.12

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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.