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Finding the Third Proportional to 69,198 and 103,659

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Solution

The third proportional to 69,198 and 103,659 is: 155,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,198 : 103,659 = 103,659 : x
  2. Step 2: Convert to fraction form
    69,198/103,659 = 103,659/x
  3. Step 3: Cross multiply
    69,198x = 103,659 × 103,659
  4. Step 4: Simplify right side
    69,198x = 10,745,188,281
  5. Step 5: Solve for x
    x = 10,745,188,281/69,198
  6. Step 6: Final answer
    x = 155,281.78

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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.