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Finding the Third Proportional to 119,764 and 166,519

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Solution

The third proportional to 119,764 and 166,519 is: 231,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,764 : 166,519 = 166,519 : x
  2. Step 2: Convert to fraction form
    119,764/166,519 = 166,519/x
  3. Step 3: Cross multiply
    119,764x = 166,519 × 166,519
  4. Step 4: Simplify right side
    119,764x = 27,728,577,361
  5. Step 5: Solve for x
    x = 27,728,577,361/119,764
  6. Step 6: Final answer
    x = 231,526.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.