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Finding the Third Proportional to 126,327 and 184,561

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Solution

The third proportional to 126,327 and 184,561 is: 269,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,327 : 184,561 = 184,561 : x
  2. Step 2: Convert to fraction form
    126,327/184,561 = 184,561/x
  3. Step 3: Cross multiply
    126,327x = 184,561 × 184,561
  4. Step 4: Simplify right side
    126,327x = 34,062,762,721
  5. Step 5: Solve for x
    x = 34,062,762,721/126,327
  6. Step 6: Final answer
    x = 269,639.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.