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Finding the Third Proportional to 126,816 and 196,260

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Solution

The third proportional to 126,816 and 196,260 is: 303,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,816 : 196,260 = 196,260 : x
  2. Step 2: Convert to fraction form
    126,816/196,260 = 196,260/x
  3. Step 3: Cross multiply
    126,816x = 196,260 × 196,260
  4. Step 4: Simplify right side
    126,816x = 38,517,987,600
  5. Step 5: Solve for x
    x = 38,517,987,600/126,816
  6. Step 6: Final answer
    x = 303,731.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.