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Finding the Third Proportional to 131,982 and 188,049

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Solution

The third proportional to 131,982 and 188,049 is: 267,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,982 : 188,049 = 188,049 : x
  2. Step 2: Convert to fraction form
    131,982/188,049 = 188,049/x
  3. Step 3: Cross multiply
    131,982x = 188,049 × 188,049
  4. Step 4: Simplify right side
    131,982x = 35,362,426,401
  5. Step 5: Solve for x
    x = 35,362,426,401/131,982
  6. Step 6: Final answer
    x = 267,933.71

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.