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Finding the Third Proportional to 122,212 and 184,098

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Solution

The third proportional to 122,212 and 184,098 is: 277,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,212 : 184,098 = 184,098 : x
  2. Step 2: Convert to fraction form
    122,212/184,098 = 184,098/x
  3. Step 3: Cross multiply
    122,212x = 184,098 × 184,098
  4. Step 4: Simplify right side
    122,212x = 33,892,073,604
  5. Step 5: Solve for x
    x = 33,892,073,604/122,212
  6. Step 6: Final answer
    x = 277,321.98

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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.