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Finding the Third Proportional to 87,442.50 and 188,262.75

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Solution

The third proportional to 87,442.50 and 188,262.75 is: 405,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,442.50 : 188,262.75 = 188,262.75 : x
  2. Step 2: Convert to fraction form
    87,442.50/188,262.75 = 188,262.75/x
  3. Step 3: Cross multiply
    87,442.50x = 188,262.75 × 188,262.75
  4. Step 4: Simplify right side
    87,442.50x = 35,442,863,037.56
  5. Step 5: Solve for x
    x = 35,442,863,037.56/87,442.50
  6. Step 6: Final answer
    x = 405,327.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.