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Finding the Third Proportional to 86,082 and 131,589

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Solution

The third proportional to 86,082 and 131,589 is: 201,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,082 : 131,589 = 131,589 : x
  2. Step 2: Convert to fraction form
    86,082/131,589 = 131,589/x
  3. Step 3: Cross multiply
    86,082x = 131,589 × 131,589
  4. Step 4: Simplify right side
    86,082x = 17,315,664,921
  5. Step 5: Solve for x
    x = 17,315,664,921/86,082
  6. Step 6: Final answer
    x = 201,153.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.