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Finding the Third Proportional to 81,898 and 177,620

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Solution

The third proportional to 81,898 and 177,620 is: 385,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,898 : 177,620 = 177,620 : x
  2. Step 2: Convert to fraction form
    81,898/177,620 = 177,620/x
  3. Step 3: Cross multiply
    81,898x = 177,620 × 177,620
  4. Step 4: Simplify right side
    81,898x = 31,548,864,400
  5. Step 5: Solve for x
    x = 31,548,864,400/81,898
  6. Step 6: Final answer
    x = 385,221.43

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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.