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Finding the Third Proportional to 86,832 and 131,169.38

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Solution

The third proportional to 86,832 and 131,169.38 is: 198,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,832 : 131,169.38 = 131,169.38 : x
  2. Step 2: Convert to fraction form
    86,832/131,169.38 = 131,169.38/x
  3. Step 3: Cross multiply
    86,832x = 131,169.38 × 131,169.38
  4. Step 4: Simplify right side
    86,832x = 17,205,404,937.89
  5. Step 5: Solve for x
    x = 17,205,404,937.89/86,832
  6. Step 6: Final answer
    x = 198,145.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.