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Finding the Third Proportional to 50,037.75 and 107,725.78

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Solution

The third proportional to 50,037.75 and 107,725.78 is: 231,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,037.75 : 107,725.78 = 107,725.78 : x
  2. Step 2: Convert to fraction form
    50,037.75/107,725.78 = 107,725.78/x
  3. Step 3: Cross multiply
    50,037.75x = 107,725.78 × 107,725.78
  4. Step 4: Simplify right side
    50,037.75x = 11,604,843,945.92
  5. Step 5: Solve for x
    x = 11,604,843,945.92/50,037.75
  6. Step 6: Final answer
    x = 231,921.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.