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Finding the Third Proportional to 81,519.75 and 171,882

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Solution

The third proportional to 81,519.75 and 171,882 is: 362,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,519.75 : 171,882 = 171,882 : x
  2. Step 2: Convert to fraction form
    81,519.75/171,882 = 171,882/x
  3. Step 3: Cross multiply
    81,519.75x = 171,882 × 171,882
  4. Step 4: Simplify right side
    81,519.75x = 29,543,421,924
  5. Step 5: Solve for x
    x = 29,543,421,924/81,519.75
  6. Step 6: Final answer
    x = 362,408.15

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.