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Finding the Third Proportional to 70,843.78 and 107,956.97

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Solution

The third proportional to 70,843.78 and 107,956.97 is: 164,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,843.78 : 107,956.97 = 107,956.97 : x
  2. Step 2: Convert to fraction form
    70,843.78/107,956.97 = 107,956.97/x
  3. Step 3: Cross multiply
    70,843.78x = 107,956.97 × 107,956.97
  4. Step 4: Simplify right side
    70,843.78x = 11,654,707,101.69
  5. Step 5: Solve for x
    x = 11,654,707,101.69/70,843.78
  6. Step 6: Final answer
    x = 164,512.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.