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Finding the Third Proportional to 39,181 and 84,923

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Solution

The third proportional to 39,181 and 84,923 is: 184,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,181 : 84,923 = 84,923 : x
  2. Step 2: Convert to fraction form
    39,181/84,923 = 84,923/x
  3. Step 3: Cross multiply
    39,181x = 84,923 × 84,923
  4. Step 4: Simplify right side
    39,181x = 7,211,915,929
  5. Step 5: Solve for x
    x = 7,211,915,929/39,181
  6. Step 6: Final answer
    x = 184,066.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.