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Finding the Third Proportional to 122,708.25 and 165,739.50

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Solution

The third proportional to 122,708.25 and 165,739.50 is: 223,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,708.25 : 165,739.50 = 165,739.50 : x
  2. Step 2: Convert to fraction form
    122,708.25/165,739.50 = 165,739.50/x
  3. Step 3: Cross multiply
    122,708.25x = 165,739.50 × 165,739.50
  4. Step 4: Simplify right side
    122,708.25x = 27,469,581,860.25
  5. Step 5: Solve for x
    x = 27,469,581,860.25/122,708.25
  6. Step 6: Final answer
    x = 223,860.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.