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Finding the Third Proportional to 119,762 and 199,611

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Solution

The third proportional to 119,762 and 199,611 is: 332,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,762 : 199,611 = 199,611 : x
  2. Step 2: Convert to fraction form
    119,762/199,611 = 199,611/x
  3. Step 3: Cross multiply
    119,762x = 199,611 × 199,611
  4. Step 4: Simplify right side
    119,762x = 39,844,551,321
  5. Step 5: Solve for x
    x = 39,844,551,321/119,762
  6. Step 6: Final answer
    x = 332,697.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.