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Finding the Third Proportional to 50,991.75 and 110,171.25

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Solution

The third proportional to 50,991.75 and 110,171.25 is: 238,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,991.75 : 110,171.25 = 110,171.25 : x
  2. Step 2: Convert to fraction form
    50,991.75/110,171.25 = 110,171.25/x
  3. Step 3: Cross multiply
    50,991.75x = 110,171.25 × 110,171.25
  4. Step 4: Simplify right side
    50,991.75x = 12,137,704,326.56
  5. Step 5: Solve for x
    x = 12,137,704,326.56/50,991.75
  6. Step 6: Final answer
    x = 238,032.71

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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.