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Finding the Third Proportional to 85,517.25 and 182,107.50

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Solution

The third proportional to 85,517.25 and 182,107.50 is: 387,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,517.25 : 182,107.50 = 182,107.50 : x
  2. Step 2: Convert to fraction form
    85,517.25/182,107.50 = 182,107.50/x
  3. Step 3: Cross multiply
    85,517.25x = 182,107.50 × 182,107.50
  4. Step 4: Simplify right side
    85,517.25x = 33,163,141,556.25
  5. Step 5: Solve for x
    x = 33,163,141,556.25/85,517.25
  6. Step 6: Final answer
    x = 387,794.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.