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Finding the Third Proportional to 122,519.25 and 166,279.50

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Solution

The third proportional to 122,519.25 and 166,279.50 is: 225,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,519.25 : 166,279.50 = 166,279.50 : x
  2. Step 2: Convert to fraction form
    122,519.25/166,279.50 = 166,279.50/x
  3. Step 3: Cross multiply
    122,519.25x = 166,279.50 × 166,279.50
  4. Step 4: Simplify right side
    122,519.25x = 27,648,872,120.25
  5. Step 5: Solve for x
    x = 27,648,872,120.25/122,519.25
  6. Step 6: Final answer
    x = 225,669.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.