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Finding the Third Proportional to 86,081 and 131,588

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Solution

The third proportional to 86,081 and 131,588 is: 201,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,081 : 131,588 = 131,588 : x
  2. Step 2: Convert to fraction form
    86,081/131,588 = 131,588/x
  3. Step 3: Cross multiply
    86,081x = 131,588 × 131,588
  4. Step 4: Simplify right side
    86,081x = 17,315,401,744
  5. Step 5: Solve for x
    x = 17,315,401,744/86,081
  6. Step 6: Final answer
    x = 201,152.42

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