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Finding the Third Proportional to 73,964.53 and 120,168.42

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Solution

The third proportional to 73,964.53 and 120,168.42 is: 195,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,964.53 : 120,168.42 = 120,168.42 : x
  2. Step 2: Convert to fraction form
    73,964.53/120,168.42 = 120,168.42/x
  3. Step 3: Cross multiply
    73,964.53x = 120,168.42 × 120,168.42
  4. Step 4: Simplify right side
    73,964.53x = 14,440,449,615.93
  5. Step 5: Solve for x
    x = 14,440,449,615.93/73,964.53
  6. Step 6: Final answer
    x = 195,234.79

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.