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Finding the Third Proportional to 122,194.13 and 184,072.50

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Solution

The third proportional to 122,194.13 and 184,072.50 is: 277,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,194.13 : 184,072.50 = 184,072.50 : x
  2. Step 2: Convert to fraction form
    122,194.13/184,072.50 = 184,072.50/x
  3. Step 3: Cross multiply
    122,194.13x = 184,072.50 × 184,072.50
  4. Step 4: Simplify right side
    122,194.13x = 33,882,685,256.25
  5. Step 5: Solve for x
    x = 33,882,685,256.25/122,194.13
  6. Step 6: Final answer
    x = 277,285.71

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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.