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Finding the Third Proportional to 81,058 and 166,125

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Solution

The third proportional to 81,058 and 166,125 is: 340,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,058 : 166,125 = 166,125 : x
  2. Step 2: Convert to fraction form
    81,058/166,125 = 166,125/x
  3. Step 3: Cross multiply
    81,058x = 166,125 × 166,125
  4. Step 4: Simplify right side
    81,058x = 27,597,515,625
  5. Step 5: Solve for x
    x = 27,597,515,625/81,058
  6. Step 6: Final answer
    x = 340,466.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.