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Finding the Third Proportional to 133,050 and 199,050

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Solution

The third proportional to 133,050 and 199,050 is: 297,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 199,050 = 199,050 : x
  2. Step 2: Convert to fraction form
    133,050/199,050 = 199,050/x
  3. Step 3: Cross multiply
    133,050x = 199,050 × 199,050
  4. Step 4: Simplify right side
    133,050x = 39,620,902,500
  5. Step 5: Solve for x
    x = 39,620,902,500/133,050
  6. Step 6: Final answer
    x = 297,789.57

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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.