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Finding the Third Proportional to 133,037 and 199,548

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Solution

The third proportional to 133,037 and 199,548 is: 299,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037 : 199,548 = 199,548 : x
  2. Step 2: Convert to fraction form
    133,037/199,548 = 199,548/x
  3. Step 3: Cross multiply
    133,037x = 199,548 × 199,548
  4. Step 4: Simplify right side
    133,037x = 39,819,404,304
  5. Step 5: Solve for x
    x = 39,819,404,304/133,037
  6. Step 6: Final answer
    x = 299,310.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.