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Finding the Third Proportional to 50,769.28 and 102,768.75

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Solution

The third proportional to 50,769.28 and 102,768.75 is: 208,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769.28 : 102,768.75 = 102,768.75 : x
  2. Step 2: Convert to fraction form
    50,769.28/102,768.75 = 102,768.75/x
  3. Step 3: Cross multiply
    50,769.28x = 102,768.75 × 102,768.75
  4. Step 4: Simplify right side
    50,769.28x = 10,561,415,976.56
  5. Step 5: Solve for x
    x = 10,561,415,976.56/50,769.28
  6. Step 6: Final answer
    x = 208,027.68

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.