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Finding the Third Proportional to 81,497.25 and 171,843.75

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Solution

The third proportional to 81,497.25 and 171,843.75 is: 362,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,497.25 : 171,843.75 = 171,843.75 : x
  2. Step 2: Convert to fraction form
    81,497.25/171,843.75 = 171,843.75/x
  3. Step 3: Cross multiply
    81,497.25x = 171,843.75 × 171,843.75
  4. Step 4: Simplify right side
    81,497.25x = 29,530,274,414.06
  5. Step 5: Solve for x
    x = 29,530,274,414.06/81,497.25
  6. Step 6: Final answer
    x = 362,346.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.