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Finding the Third Proportional to 69,022 and 106,878

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Solution

The third proportional to 69,022 and 106,878 is: 165,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,022 : 106,878 = 106,878 : x
  2. Step 2: Convert to fraction form
    69,022/106,878 = 106,878/x
  3. Step 3: Cross multiply
    69,022x = 106,878 × 106,878
  4. Step 4: Simplify right side
    69,022x = 11,422,906,884
  5. Step 5: Solve for x
    x = 11,422,906,884/69,022
  6. Step 6: Final answer
    x = 165,496.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.