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Finding the Third Proportional to 74,750 and 159,188

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Solution

The third proportional to 74,750 and 159,188 is: 339,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,750 : 159,188 = 159,188 : x
  2. Step 2: Convert to fraction form
    74,750/159,188 = 159,188/x
  3. Step 3: Cross multiply
    74,750x = 159,188 × 159,188
  4. Step 4: Simplify right side
    74,750x = 25,340,819,344
  5. Step 5: Solve for x
    x = 25,340,819,344/74,750
  6. Step 6: Final answer
    x = 339,007.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.