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Finding the Third Proportional to 133,576 and 199,948

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Solution

The third proportional to 133,576 and 199,948 is: 299,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,576 : 199,948 = 199,948 : x
  2. Step 2: Convert to fraction form
    133,576/199,948 = 199,948/x
  3. Step 3: Cross multiply
    133,576x = 199,948 × 199,948
  4. Step 4: Simplify right side
    133,576x = 39,979,202,704
  5. Step 5: Solve for x
    x = 39,979,202,704/133,576
  6. Step 6: Final answer
    x = 299,299.30

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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.