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Finding the Third Proportional to 95,732.72 and 158,998.78

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Solution

The third proportional to 95,732.72 and 158,998.78 is: 264,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,732.72 : 158,998.78 = 158,998.78 : x
  2. Step 2: Convert to fraction form
    95,732.72/158,998.78 = 158,998.78/x
  3. Step 3: Cross multiply
    95,732.72x = 158,998.78 × 158,998.78
  4. Step 4: Simplify right side
    95,732.72x = 25,280,612,438.99
  5. Step 5: Solve for x
    x = 25,280,612,438.99/95,732.72
  6. Step 6: Final answer
    x = 264,074.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.