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Finding the Third Proportional to 122,781.50 and 184,629

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Solution

The third proportional to 122,781.50 and 184,629 is: 277,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,781.50 : 184,629 = 184,629 : x
  2. Step 2: Convert to fraction form
    122,781.50/184,629 = 184,629/x
  3. Step 3: Cross multiply
    122,781.50x = 184,629 × 184,629
  4. Step 4: Simplify right side
    122,781.50x = 34,087,867,641
  5. Step 5: Solve for x
    x = 34,087,867,641/122,781.50
  6. Step 6: Final answer
    x = 277,630.32

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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.