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Finding the Third Proportional to 47,923 and 103,991

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Solution

The third proportional to 47,923 and 103,991 is: 225,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,923 : 103,991 = 103,991 : x
  2. Step 2: Convert to fraction form
    47,923/103,991 = 103,991/x
  3. Step 3: Cross multiply
    47,923x = 103,991 × 103,991
  4. Step 4: Simplify right side
    47,923x = 10,814,128,081
  5. Step 5: Solve for x
    x = 10,814,128,081/47,923
  6. Step 6: Final answer
    x = 225,656.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.