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Finding the Third Proportional to 90,651 and 193,759

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Solution

The third proportional to 90,651 and 193,759 is: 414,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,651 : 193,759 = 193,759 : x
  2. Step 2: Convert to fraction form
    90,651/193,759 = 193,759/x
  3. Step 3: Cross multiply
    90,651x = 193,759 × 193,759
  4. Step 4: Simplify right side
    90,651x = 37,542,550,081
  5. Step 5: Solve for x
    x = 37,542,550,081/90,651
  6. Step 6: Final answer
    x = 414,143.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.