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Finding the Third Proportional to 73,968.75 and 120,174.75

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Solution

The third proportional to 73,968.75 and 120,174.75 is: 195,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968.75 : 120,174.75 = 120,174.75 : x
  2. Step 2: Convert to fraction form
    73,968.75/120,174.75 = 120,174.75/x
  3. Step 3: Cross multiply
    73,968.75x = 120,174.75 × 120,174.75
  4. Step 4: Simplify right side
    73,968.75x = 14,441,970,537.56
  5. Step 5: Solve for x
    x = 14,441,970,537.56/73,968.75
  6. Step 6: Final answer
    x = 195,244.22

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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.