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Finding the Third Proportional to 86,926 and 131,608

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Solution

The third proportional to 86,926 and 131,608 is: 199,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,926 : 131,608 = 131,608 : x
  2. Step 2: Convert to fraction form
    86,926/131,608 = 131,608/x
  3. Step 3: Cross multiply
    86,926x = 131,608 × 131,608
  4. Step 4: Simplify right side
    86,926x = 17,320,665,664
  5. Step 5: Solve for x
    x = 17,320,665,664/86,926
  6. Step 6: Final answer
    x = 199,257.59

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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.