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Finding the Third Proportional to 81,162 and 177,093

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Solution

The third proportional to 81,162 and 177,093 is: 386,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,162 : 177,093 = 177,093 : x
  2. Step 2: Convert to fraction form
    81,162/177,093 = 177,093/x
  3. Step 3: Cross multiply
    81,162x = 177,093 × 177,093
  4. Step 4: Simplify right side
    81,162x = 31,361,930,649
  5. Step 5: Solve for x
    x = 31,361,930,649/81,162
  6. Step 6: Final answer
    x = 386,411.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.