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Finding the Third Proportional to 133,747 and 195,698

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Solution

The third proportional to 133,747 and 195,698 is: 286,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,747 : 195,698 = 195,698 : x
  2. Step 2: Convert to fraction form
    133,747/195,698 = 195,698/x
  3. Step 3: Cross multiply
    133,747x = 195,698 × 195,698
  4. Step 4: Simplify right side
    133,747x = 38,297,707,204
  5. Step 5: Solve for x
    x = 38,297,707,204/133,747
  6. Step 6: Final answer
    x = 286,344.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.