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Finding the Third Proportional to 76,205.25 and 165,986.75

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Solution

The third proportional to 76,205.25 and 165,986.75 is: 361,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.25 : 165,986.75 = 165,986.75 : x
  2. Step 2: Convert to fraction form
    76,205.25/165,986.75 = 165,986.75/x
  3. Step 3: Cross multiply
    76,205.25x = 165,986.75 × 165,986.75
  4. Step 4: Simplify right side
    76,205.25x = 27,551,601,175.56
  5. Step 5: Solve for x
    x = 27,551,601,175.56/76,205.25
  6. Step 6: Final answer
    x = 361,544.66

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Why These Related Problems?

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