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Finding the Third Proportional to 83,027.25 and 171,961.88

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Solution

The third proportional to 83,027.25 and 171,961.88 is: 356,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027.25 : 171,961.88 = 171,961.88 : x
  2. Step 2: Convert to fraction form
    83,027.25/171,961.88 = 171,961.88/x
  3. Step 3: Cross multiply
    83,027.25x = 171,961.88 × 171,961.88
  4. Step 4: Simplify right side
    83,027.25x = 29,570,886,453.52
  5. Step 5: Solve for x
    x = 29,570,886,453.52/83,027.25
  6. Step 6: Final answer
    x = 356,158.81

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.