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Finding the Third Proportional to 80,860.25 and 115,785.75

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Solution

The third proportional to 80,860.25 and 115,785.75 is: 165,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,860.25 : 115,785.75 = 115,785.75 : x
  2. Step 2: Convert to fraction form
    80,860.25/115,785.75 = 115,785.75/x
  3. Step 3: Cross multiply
    80,860.25x = 115,785.75 × 115,785.75
  4. Step 4: Simplify right side
    80,860.25x = 13,406,339,903.06
  5. Step 5: Solve for x
    x = 13,406,339,903.06/80,860.25
  6. Step 6: Final answer
    x = 165,796.42

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.