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Finding the Third Proportional to 83,751.75 and 182,268.75

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Solution

The third proportional to 83,751.75 and 182,268.75 is: 396,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751.75 : 182,268.75 = 182,268.75 : x
  2. Step 2: Convert to fraction form
    83,751.75/182,268.75 = 182,268.75/x
  3. Step 3: Cross multiply
    83,751.75x = 182,268.75 × 182,268.75
  4. Step 4: Simplify right side
    83,751.75x = 33,221,897,226.56
  5. Step 5: Solve for x
    x = 33,221,897,226.56/83,751.75
  6. Step 6: Final answer
    x = 396,671.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.