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Finding the Third Proportional to 123,317 and 184,992

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Solution

The third proportional to 123,317 and 184,992 is: 277,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,317 : 184,992 = 184,992 : x
  2. Step 2: Convert to fraction form
    123,317/184,992 = 184,992/x
  3. Step 3: Cross multiply
    123,317x = 184,992 × 184,992
  4. Step 4: Simplify right side
    123,317x = 34,222,040,064
  5. Step 5: Solve for x
    x = 34,222,040,064/123,317
  6. Step 6: Final answer
    x = 277,512.75

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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.