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Finding the Third Proportional to 69,815.75 and 107,882.75

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Solution

The third proportional to 69,815.75 and 107,882.75 is: 166,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,815.75 : 107,882.75 = 107,882.75 : x
  2. Step 2: Convert to fraction form
    69,815.75/107,882.75 = 107,882.75/x
  3. Step 3: Cross multiply
    69,815.75x = 107,882.75 × 107,882.75
  4. Step 4: Simplify right side
    69,815.75x = 11,638,687,747.56
  5. Step 5: Solve for x
    x = 11,638,687,747.56/69,815.75
  6. Step 6: Final answer
    x = 166,705.76

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Why These Related Problems?

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