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Finding the Third Proportional to 126,576 and 195,984

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Solution

The third proportional to 126,576 and 195,984 is: 303,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,576 : 195,984 = 195,984 : x
  2. Step 2: Convert to fraction form
    126,576/195,984 = 195,984/x
  3. Step 3: Cross multiply
    126,576x = 195,984 × 195,984
  4. Step 4: Simplify right side
    126,576x = 38,409,728,256
  5. Step 5: Solve for x
    x = 38,409,728,256/126,576
  6. Step 6: Final answer
    x = 303,451.90

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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.