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Finding the Third Proportional to 73,469 and 120,626

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Solution

The third proportional to 73,469 and 120,626 is: 198,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,469 : 120,626 = 120,626 : x
  2. Step 2: Convert to fraction form
    73,469/120,626 = 120,626/x
  3. Step 3: Cross multiply
    73,469x = 120,626 × 120,626
  4. Step 4: Simplify right side
    73,469x = 14,550,631,876
  5. Step 5: Solve for x
    x = 14,550,631,876/73,469
  6. Step 6: Final answer
    x = 198,051.31

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.