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Finding the Third Proportional to 49,785.75 and 107,493.75

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Solution

The third proportional to 49,785.75 and 107,493.75 is: 232,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,785.75 : 107,493.75 = 107,493.75 : x
  2. Step 2: Convert to fraction form
    49,785.75/107,493.75 = 107,493.75/x
  3. Step 3: Cross multiply
    49,785.75x = 107,493.75 × 107,493.75
  4. Step 4: Simplify right side
    49,785.75x = 11,554,906,289.06
  5. Step 5: Solve for x
    x = 11,554,906,289.06/49,785.75
  6. Step 6: Final answer
    x = 232,092.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.