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Finding the Third Proportional to 58,638 and 126,012

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Solution

The third proportional to 58,638 and 126,012 is: 270,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,638 : 126,012 = 126,012 : x
  2. Step 2: Convert to fraction form
    58,638/126,012 = 126,012/x
  3. Step 3: Cross multiply
    58,638x = 126,012 × 126,012
  4. Step 4: Simplify right side
    58,638x = 15,879,024,144
  5. Step 5: Solve for x
    x = 15,879,024,144/58,638
  6. Step 6: Final answer
    x = 270,797.51

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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.