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Finding the Third Proportional to 122,039 and 184,779

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Solution

The third proportional to 122,039 and 184,779 is: 279,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,039 : 184,779 = 184,779 : x
  2. Step 2: Convert to fraction form
    122,039/184,779 = 184,779/x
  3. Step 3: Cross multiply
    122,039x = 184,779 × 184,779
  4. Step 4: Simplify right side
    122,039x = 34,143,278,841
  5. Step 5: Solve for x
    x = 34,143,278,841/122,039
  6. Step 6: Final answer
    x = 279,773.51

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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.