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Finding the Third Proportional to 58,800 and 126,384

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Solution

The third proportional to 58,800 and 126,384 is: 271,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,800 : 126,384 = 126,384 : x
  2. Step 2: Convert to fraction form
    58,800/126,384 = 126,384/x
  3. Step 3: Cross multiply
    58,800x = 126,384 × 126,384
  4. Step 4: Simplify right side
    58,800x = 15,972,915,456
  5. Step 5: Solve for x
    x = 15,972,915,456/58,800
  6. Step 6: Final answer
    x = 271,648.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.