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Finding the Third Proportional to 81,560 and 179,160

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Solution

The third proportional to 81,560 and 179,160 is: 393,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,560 : 179,160 = 179,160 : x
  2. Step 2: Convert to fraction form
    81,560/179,160 = 179,160/x
  3. Step 3: Cross multiply
    81,560x = 179,160 × 179,160
  4. Step 4: Simplify right side
    81,560x = 32,098,305,600
  5. Step 5: Solve for x
    x = 32,098,305,600/81,560
  6. Step 6: Final answer
    x = 393,554.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.