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Finding the Third Proportional to 86,933 and 131,619

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Solution

The third proportional to 86,933 and 131,619 is: 199,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,933 : 131,619 = 131,619 : x
  2. Step 2: Convert to fraction form
    86,933/131,619 = 131,619/x
  3. Step 3: Cross multiply
    86,933x = 131,619 × 131,619
  4. Step 4: Simplify right side
    86,933x = 17,323,561,161
  5. Step 5: Solve for x
    x = 17,323,561,161/86,933
  6. Step 6: Final answer
    x = 199,274.86

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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.