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Finding the Third Proportional to 81,884 and 177,592

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Solution

The third proportional to 81,884 and 177,592 is: 385,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884 : 177,592 = 177,592 : x
  2. Step 2: Convert to fraction form
    81,884/177,592 = 177,592/x
  3. Step 3: Cross multiply
    81,884x = 177,592 × 177,592
  4. Step 4: Simplify right side
    81,884x = 31,538,918,464
  5. Step 5: Solve for x
    x = 31,538,918,464/81,884
  6. Step 6: Final answer
    x = 385,165.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.