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Finding the Third Proportional to 73,950 and 120,741

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Solution

The third proportional to 73,950 and 120,741 is: 197,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,950 : 120,741 = 120,741 : x
  2. Step 2: Convert to fraction form
    73,950/120,741 = 120,741/x
  3. Step 3: Cross multiply
    73,950x = 120,741 × 120,741
  4. Step 4: Simplify right side
    73,950x = 14,578,389,081
  5. Step 5: Solve for x
    x = 14,578,389,081/73,950
  6. Step 6: Final answer
    x = 197,138.46

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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.