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Finding the Third Proportional to 122,062 and 184,815

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Solution

The third proportional to 122,062 and 184,815 is: 279,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,062 : 184,815 = 184,815 : x
  2. Step 2: Convert to fraction form
    122,062/184,815 = 184,815/x
  3. Step 3: Cross multiply
    122,062x = 184,815 × 184,815
  4. Step 4: Simplify right side
    122,062x = 34,156,584,225
  5. Step 5: Solve for x
    x = 34,156,584,225/122,062
  6. Step 6: Final answer
    x = 279,829.79

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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.