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Finding the Third Proportional to 122,197.50 and 184,079.25

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Solution

The third proportional to 122,197.50 and 184,079.25 is: 277,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,197.50 : 184,079.25 = 184,079.25 : x
  2. Step 2: Convert to fraction form
    122,197.50/184,079.25 = 184,079.25/x
  3. Step 3: Cross multiply
    122,197.50x = 184,079.25 × 184,079.25
  4. Step 4: Simplify right side
    122,197.50x = 33,885,170,280.56
  5. Step 5: Solve for x
    x = 33,885,170,280.56/122,197.50
  6. Step 6: Final answer
    x = 277,298.39

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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.