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Finding the Third Proportional to 81,153 and 177,241

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Solution

The third proportional to 81,153 and 177,241 is: 387,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,153 : 177,241 = 177,241 : x
  2. Step 2: Convert to fraction form
    81,153/177,241 = 177,241/x
  3. Step 3: Cross multiply
    81,153x = 177,241 × 177,241
  4. Step 4: Simplify right side
    81,153x = 31,414,372,081
  5. Step 5: Solve for x
    x = 31,414,372,081/81,153
  6. Step 6: Final answer
    x = 387,100.56

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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.