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Finding the Third Proportional to 34,321.50 and 80,181

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Solution

The third proportional to 34,321.50 and 80,181 is: 187,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,321.50 : 80,181 = 80,181 : x
  2. Step 2: Convert to fraction form
    34,321.50/80,181 = 80,181/x
  3. Step 3: Cross multiply
    34,321.50x = 80,181 × 80,181
  4. Step 4: Simplify right side
    34,321.50x = 6,428,992,761
  5. Step 5: Solve for x
    x = 6,428,992,761/34,321.50
  6. Step 6: Final answer
    x = 187,316.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.