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Finding the Third Proportional to 126,806 and 193,593

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Solution

The third proportional to 126,806 and 193,593 is: 295,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,806 : 193,593 = 193,593 : x
  2. Step 2: Convert to fraction form
    126,806/193,593 = 193,593/x
  3. Step 3: Cross multiply
    126,806x = 193,593 × 193,593
  4. Step 4: Simplify right side
    126,806x = 37,478,249,649
  5. Step 5: Solve for x
    x = 37,478,249,649/126,806
  6. Step 6: Final answer
    x = 295,555.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.