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Finding the Third Proportional to 126,786 and 195,636

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Solution

The third proportional to 126,786 and 195,636 is: 301,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,786 : 195,636 = 195,636 : x
  2. Step 2: Convert to fraction form
    126,786/195,636 = 195,636/x
  3. Step 3: Cross multiply
    126,786x = 195,636 × 195,636
  4. Step 4: Simplify right side
    126,786x = 38,273,444,496
  5. Step 5: Solve for x
    x = 38,273,444,496/126,786
  6. Step 6: Final answer
    x = 301,874.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.