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Finding the Third Proportional to 123,039 and 184,923

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Solution

The third proportional to 123,039 and 184,923 is: 277,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,039 : 184,923 = 184,923 : x
  2. Step 2: Convert to fraction form
    123,039/184,923 = 184,923/x
  3. Step 3: Cross multiply
    123,039x = 184,923 × 184,923
  4. Step 4: Simplify right side
    123,039x = 34,196,515,929
  5. Step 5: Solve for x
    x = 34,196,515,929/123,039
  6. Step 6: Final answer
    x = 277,932.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.