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Finding the Third Proportional to 81,517 and 171,882

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Solution

The third proportional to 81,517 and 171,882 is: 362,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,517 : 171,882 = 171,882 : x
  2. Step 2: Convert to fraction form
    81,517/171,882 = 171,882/x
  3. Step 3: Cross multiply
    81,517x = 171,882 × 171,882
  4. Step 4: Simplify right side
    81,517x = 29,543,421,924
  5. Step 5: Solve for x
    x = 29,543,421,924/81,517
  6. Step 6: Final answer
    x = 362,420.38

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Why These Related Problems?

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