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Finding the Third Proportional to 80,858.25 and 170,097.75

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Solution

The third proportional to 80,858.25 and 170,097.75 is: 357,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,858.25 : 170,097.75 = 170,097.75 : x
  2. Step 2: Convert to fraction form
    80,858.25/170,097.75 = 170,097.75/x
  3. Step 3: Cross multiply
    80,858.25x = 170,097.75 × 170,097.75
  4. Step 4: Simplify right side
    80,858.25x = 28,933,244,555.06
  5. Step 5: Solve for x
    x = 28,933,244,555.06/80,858.25
  6. Step 6: Final answer
    x = 357,826.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.