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Finding the Third Proportional to 122,204 and 184,087

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Solution

The third proportional to 122,204 and 184,087 is: 277,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,204 : 184,087 = 184,087 : x
  2. Step 2: Convert to fraction form
    122,204/184,087 = 184,087/x
  3. Step 3: Cross multiply
    122,204x = 184,087 × 184,087
  4. Step 4: Simplify right side
    122,204x = 33,888,023,569
  5. Step 5: Solve for x
    x = 33,888,023,569/122,204
  6. Step 6: Final answer
    x = 277,306.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.