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Finding the Third Proportional to 80,858.25 and 115,782.75

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Solution

The third proportional to 80,858.25 and 115,782.75 is: 165,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,858.25 : 115,782.75 = 115,782.75 : x
  2. Step 2: Convert to fraction form
    80,858.25/115,782.75 = 115,782.75/x
  3. Step 3: Cross multiply
    80,858.25x = 115,782.75 × 115,782.75
  4. Step 4: Simplify right side
    80,858.25x = 13,405,645,197.56
  5. Step 5: Solve for x
    x = 13,405,645,197.56/80,858.25
  6. Step 6: Final answer
    x = 165,791.93

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Why These Related Problems?

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