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Finding the Third Proportional to 69,634 and 104,189

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Solution

The third proportional to 69,634 and 104,189 is: 155,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,634 : 104,189 = 104,189 : x
  2. Step 2: Convert to fraction form
    69,634/104,189 = 104,189/x
  3. Step 3: Cross multiply
    69,634x = 104,189 × 104,189
  4. Step 4: Simplify right side
    69,634x = 10,855,347,721
  5. Step 5: Solve for x
    x = 10,855,347,721/69,634
  6. Step 6: Final answer
    x = 155,891.49

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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.