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Finding the Third Proportional to 73,932.75 and 159,517.69

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Solution

The third proportional to 73,932.75 and 159,517.69 is: 344,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,932.75 : 159,517.69 = 159,517.69 : x
  2. Step 2: Convert to fraction form
    73,932.75/159,517.69 = 159,517.69/x
  3. Step 3: Cross multiply
    73,932.75x = 159,517.69 × 159,517.69
  4. Step 4: Simplify right side
    73,932.75x = 25,445,892,625.35
  5. Step 5: Solve for x
    x = 25,445,892,625.35/73,932.75
  6. Step 6: Final answer
    x = 344,176.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.