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Finding the Third Proportional to 111,939 and 241,923

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Solution

The third proportional to 111,939 and 241,923 is: 522,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,939 : 241,923 = 241,923 : x
  2. Step 2: Convert to fraction form
    111,939/241,923 = 241,923/x
  3. Step 3: Cross multiply
    111,939x = 241,923 × 241,923
  4. Step 4: Simplify right side
    111,939x = 58,526,737,929
  5. Step 5: Solve for x
    x = 58,526,737,929/111,939
  6. Step 6: Final answer
    x = 522,844.92

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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.