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Finding the Third Proportional to 69,831 and 150,735

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Solution

The third proportional to 69,831 and 150,735 is: 325,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,831 : 150,735 = 150,735 : x
  2. Step 2: Convert to fraction form
    69,831/150,735 = 150,735/x
  3. Step 3: Cross multiply
    69,831x = 150,735 × 150,735
  4. Step 4: Simplify right side
    69,831x = 22,721,040,225
  5. Step 5: Solve for x
    x = 22,721,040,225/69,831
  6. Step 6: Final answer
    x = 325,371.83

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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.