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Finding the Third Proportional to 126,795 and 196,224

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Solution

The third proportional to 126,795 and 196,224 is: 303,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,795 : 196,224 = 196,224 : x
  2. Step 2: Convert to fraction form
    126,795/196,224 = 196,224/x
  3. Step 3: Cross multiply
    126,795x = 196,224 × 196,224
  4. Step 4: Simplify right side
    126,795x = 38,503,858,176
  5. Step 5: Solve for x
    x = 38,503,858,176/126,795
  6. Step 6: Final answer
    x = 303,670.16

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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.