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Finding the Third Proportional to 50,243.88 and 107,772.75

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Solution

The third proportional to 50,243.88 and 107,772.75 is: 231,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,243.88 : 107,772.75 = 107,772.75 : x
  2. Step 2: Convert to fraction form
    50,243.88/107,772.75 = 107,772.75/x
  3. Step 3: Cross multiply
    50,243.88x = 107,772.75 × 107,772.75
  4. Step 4: Simplify right side
    50,243.88x = 11,614,965,642.56
  5. Step 5: Solve for x
    x = 11,614,965,642.56/50,243.88
  6. Step 6: Final answer
    x = 231,171.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.