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Finding the Third Proportional to 76,794.75 and 159,720.19

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Solution

The third proportional to 76,794.75 and 159,720.19 is: 332,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794.75 : 159,720.19 = 159,720.19 : x
  2. Step 2: Convert to fraction form
    76,794.75/159,720.19 = 159,720.19/x
  3. Step 3: Cross multiply
    76,794.75x = 159,720.19 × 159,720.19
  4. Step 4: Simplify right side
    76,794.75x = 25,510,538,295.04
  5. Step 5: Solve for x
    x = 25,510,538,295.04/76,794.75
  6. Step 6: Final answer
    x = 332,191.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.