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Finding the Third Proportional to 73,843.88 and 110,742.75

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Solution

The third proportional to 73,843.88 and 110,742.75 is: 166,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,843.88 : 110,742.75 = 110,742.75 : x
  2. Step 2: Convert to fraction form
    73,843.88/110,742.75 = 110,742.75/x
  3. Step 3: Cross multiply
    73,843.88x = 110,742.75 × 110,742.75
  4. Step 4: Simplify right side
    73,843.88x = 12,263,956,677.56
  5. Step 5: Solve for x
    x = 12,263,956,677.56/73,843.88
  6. Step 6: Final answer
    x = 166,079.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.