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Finding the Third Proportional to 52,777.97 and 107,704.69

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Solution

The third proportional to 52,777.97 and 107,704.69 is: 219,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,777.97 : 107,704.69 = 107,704.69 : x
  2. Step 2: Convert to fraction form
    52,777.97/107,704.69 = 107,704.69/x
  3. Step 3: Cross multiply
    52,777.97x = 107,704.69 × 107,704.69
  4. Step 4: Simplify right side
    52,777.97x = 11,600,299,709.47
  5. Step 5: Solve for x
    x = 11,600,299,709.47/52,777.97
  6. Step 6: Final answer
    x = 219,794.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.