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Finding the Third Proportional to 70,996.50 and 108,924.75

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Solution

The third proportional to 70,996.50 and 108,924.75 is: 167,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,996.50 : 108,924.75 = 108,924.75 : x
  2. Step 2: Convert to fraction form
    70,996.50/108,924.75 = 108,924.75/x
  3. Step 3: Cross multiply
    70,996.50x = 108,924.75 × 108,924.75
  4. Step 4: Simplify right side
    70,996.50x = 11,864,601,162.56
  5. Step 5: Solve for x
    x = 11,864,601,162.56/70,996.50
  6. Step 6: Final answer
    x = 167,115.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.