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Finding the Third Proportional to 106,713 and 159,789.75

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Solution

The third proportional to 106,713 and 159,789.75 is: 239,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713 : 159,789.75 = 159,789.75 : x
  2. Step 2: Convert to fraction form
    106,713/159,789.75 = 159,789.75/x
  3. Step 3: Cross multiply
    106,713x = 159,789.75 × 159,789.75
  4. Step 4: Simplify right side
    106,713x = 25,532,764,205.06
  5. Step 5: Solve for x
    x = 25,532,764,205.06/106,713
  6. Step 6: Final answer
    x = 239,265.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.