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Finding the Third Proportional to 110,956.50 and 181,161.56

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Solution

The third proportional to 110,956.50 and 181,161.56 is: 295,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,956.50 : 181,161.56 = 181,161.56 : x
  2. Step 2: Convert to fraction form
    110,956.50/181,161.56 = 181,161.56/x
  3. Step 3: Cross multiply
    110,956.50x = 181,161.56 × 181,161.56
  4. Step 4: Simplify right side
    110,956.50x = 32,819,511,727.44
  5. Step 5: Solve for x
    x = 32,819,511,727.44/110,956.50
  6. Step 6: Final answer
    x = 295,787.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.