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Finding the Third Proportional to 138,524 and 184,872

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Solution

The third proportional to 138,524 and 184,872 is: 246,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,524 : 184,872 = 184,872 : x
  2. Step 2: Convert to fraction form
    138,524/184,872 = 184,872/x
  3. Step 3: Cross multiply
    138,524x = 184,872 × 184,872
  4. Step 4: Simplify right side
    138,524x = 34,177,656,384
  5. Step 5: Solve for x
    x = 34,177,656,384/138,524
  6. Step 6: Final answer
    x = 246,727.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.