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Finding the Third Proportional to 122,678 and 184,626

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Solution

The third proportional to 122,678 and 184,626 is: 277,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,678 : 184,626 = 184,626 : x
  2. Step 2: Convert to fraction form
    122,678/184,626 = 184,626/x
  3. Step 3: Cross multiply
    122,678x = 184,626 × 184,626
  4. Step 4: Simplify right side
    122,678x = 34,086,759,876
  5. Step 5: Solve for x
    x = 34,086,759,876/122,678
  6. Step 6: Final answer
    x = 277,855.52

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Why These Related Problems?

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