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Finding the Third Proportional to 85,058 and 183,116

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Solution

The third proportional to 85,058 and 183,116 is: 394,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,058 : 183,116 = 183,116 : x
  2. Step 2: Convert to fraction form
    85,058/183,116 = 183,116/x
  3. Step 3: Cross multiply
    85,058x = 183,116 × 183,116
  4. Step 4: Simplify right side
    85,058x = 33,531,469,456
  5. Step 5: Solve for x
    x = 33,531,469,456/85,058
  6. Step 6: Final answer
    x = 394,218.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.