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Finding the Third Proportional to 85,586 and 177,166

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Solution

The third proportional to 85,586 and 177,166 is: 366,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,586 : 177,166 = 177,166 : x
  2. Step 2: Convert to fraction form
    85,586/177,166 = 177,166/x
  3. Step 3: Cross multiply
    85,586x = 177,166 × 177,166
  4. Step 4: Simplify right side
    85,586x = 31,387,791,556
  5. Step 5: Solve for x
    x = 31,387,791,556/85,586
  6. Step 6: Final answer
    x = 366,739.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.