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Finding the Third Proportional to 126,576 and 197,496

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Solution

The third proportional to 126,576 and 197,496 is: 308,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,576 : 197,496 = 197,496 : x
  2. Step 2: Convert to fraction form
    126,576/197,496 = 197,496/x
  3. Step 3: Cross multiply
    126,576x = 197,496 × 197,496
  4. Step 4: Simplify right side
    126,576x = 39,004,670,016
  5. Step 5: Solve for x
    x = 39,004,670,016/126,576
  6. Step 6: Final answer
    x = 308,152.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.