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Finding the Third Proportional to 69,231 and 150,936

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Solution

The third proportional to 69,231 and 150,936 is: 329,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,231 : 150,936 = 150,936 : x
  2. Step 2: Convert to fraction form
    69,231/150,936 = 150,936/x
  3. Step 3: Cross multiply
    69,231x = 150,936 × 150,936
  4. Step 4: Simplify right side
    69,231x = 22,781,676,096
  5. Step 5: Solve for x
    x = 22,781,676,096/69,231
  6. Step 6: Final answer
    x = 329,067.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.