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Finding the Third Proportional to 126,812 and 193,604

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Solution

The third proportional to 126,812 and 193,604 is: 295,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,812 : 193,604 = 193,604 : x
  2. Step 2: Convert to fraction form
    126,812/193,604 = 193,604/x
  3. Step 3: Cross multiply
    126,812x = 193,604 × 193,604
  4. Step 4: Simplify right side
    126,812x = 37,482,508,816
  5. Step 5: Solve for x
    x = 37,482,508,816/126,812
  6. Step 6: Final answer
    x = 295,575.41

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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.