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Finding the Third Proportional to 122,992 and 184,868

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Solution

The third proportional to 122,992 and 184,868 is: 277,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,992 : 184,868 = 184,868 : x
  2. Step 2: Convert to fraction form
    122,992/184,868 = 184,868/x
  3. Step 3: Cross multiply
    122,992x = 184,868 × 184,868
  4. Step 4: Simplify right side
    122,992x = 34,176,177,424
  5. Step 5: Solve for x
    x = 34,176,177,424/122,992
  6. Step 6: Final answer
    x = 277,873.17

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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.