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Finding the Third Proportional to 122,066 and 184,821

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Solution

The third proportional to 122,066 and 184,821 is: 279,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,066 : 184,821 = 184,821 : x
  2. Step 2: Convert to fraction form
    122,066/184,821 = 184,821/x
  3. Step 3: Cross multiply
    122,066x = 184,821 × 184,821
  4. Step 4: Simplify right side
    122,066x = 34,158,802,041
  5. Step 5: Solve for x
    x = 34,158,802,041/122,066
  6. Step 6: Final answer
    x = 279,838.79

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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.