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Finding the Third Proportional to 50,086.50 and 107,949

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Solution

The third proportional to 50,086.50 and 107,949 is: 232,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,086.50 : 107,949 = 107,949 : x
  2. Step 2: Convert to fraction form
    50,086.50/107,949 = 107,949/x
  3. Step 3: Cross multiply
    50,086.50x = 107,949 × 107,949
  4. Step 4: Simplify right side
    50,086.50x = 11,652,986,601
  5. Step 5: Solve for x
    x = 11,652,986,601/50,086.50
  6. Step 6: Final answer
    x = 232,657.24

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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.