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Finding the Third Proportional to 122,608.69 and 184,323.09

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Solution

The third proportional to 122,608.69 and 184,323.09 is: 277,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,608.69 : 184,323.09 = 184,323.09 : x
  2. Step 2: Convert to fraction form
    122,608.69/184,323.09 = 184,323.09/x
  3. Step 3: Cross multiply
    122,608.69x = 184,323.09 × 184,323.09
  4. Step 4: Simplify right side
    122,608.69x = 33,975,002,889.57
  5. Step 5: Solve for x
    x = 33,975,002,889.57/122,608.69
  6. Step 6: Final answer
    x = 277,101.11

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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.