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Finding the Third Proportional to 50,286.75 and 104,707.25

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Solution

The third proportional to 50,286.75 and 104,707.25 is: 218,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,286.75 : 104,707.25 = 104,707.25 : x
  2. Step 2: Convert to fraction form
    50,286.75/104,707.25 = 104,707.25/x
  3. Step 3: Cross multiply
    50,286.75x = 104,707.25 × 104,707.25
  4. Step 4: Simplify right side
    50,286.75x = 10,963,608,202.56
  5. Step 5: Solve for x
    x = 10,963,608,202.56/50,286.75
  6. Step 6: Final answer
    x = 218,021.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.