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Finding the Third Proportional to 81,166 and 174,404

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Solution

The third proportional to 81,166 and 174,404 is: 374,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,166 : 174,404 = 174,404 : x
  2. Step 2: Convert to fraction form
    81,166/174,404 = 174,404/x
  3. Step 3: Cross multiply
    81,166x = 174,404 × 174,404
  4. Step 4: Simplify right side
    81,166x = 30,416,755,216
  5. Step 5: Solve for x
    x = 30,416,755,216/81,166
  6. Step 6: Final answer
    x = 374,747.50

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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.