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Finding the Third Proportional to 69,759.56 and 107,819.44

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Solution

The third proportional to 69,759.56 and 107,819.44 is: 166,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,759.56 : 107,819.44 = 107,819.44 : x
  2. Step 2: Convert to fraction form
    69,759.56/107,819.44 = 107,819.44/x
  3. Step 3: Cross multiply
    69,759.56x = 107,819.44 × 107,819.44
  4. Step 4: Simplify right side
    69,759.56x = 11,625,031,102.82
  5. Step 5: Solve for x
    x = 11,625,031,102.82/69,759.56
  6. Step 6: Final answer
    x = 166,644.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.