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Finding the Third Proportional to 122,773.85 and 184,616.40

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Solution

The third proportional to 122,773.85 and 184,616.40 is: 277,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,773.85 : 184,616.40 = 184,616.40 : x
  2. Step 2: Convert to fraction form
    122,773.85/184,616.40 = 184,616.40/x
  3. Step 3: Cross multiply
    122,773.85x = 184,616.40 × 184,616.40
  4. Step 4: Simplify right side
    122,773.85x = 34,083,216,014.35
  5. Step 5: Solve for x
    x = 34,083,216,014.35/122,773.85
  6. Step 6: Final answer
    x = 277,609.73

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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.