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Finding the Third Proportional to 50,782.38 and 108,125.75

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Solution

The third proportional to 50,782.38 and 108,125.75 is: 230,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.38 : 108,125.75 = 108,125.75 : x
  2. Step 2: Convert to fraction form
    50,782.38/108,125.75 = 108,125.75/x
  3. Step 3: Cross multiply
    50,782.38x = 108,125.75 × 108,125.75
  4. Step 4: Simplify right side
    50,782.38x = 11,691,177,813.06
  5. Step 5: Solve for x
    x = 11,691,177,813.06/50,782.38
  6. Step 6: Final answer
    x = 230,221.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.