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Finding the Third Proportional to 69,067 and 143,048

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Solution

The third proportional to 69,067 and 143,048 is: 296,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,067 : 143,048 = 143,048 : x
  2. Step 2: Convert to fraction form
    69,067/143,048 = 143,048/x
  3. Step 3: Cross multiply
    69,067x = 143,048 × 143,048
  4. Step 4: Simplify right side
    69,067x = 20,462,730,304
  5. Step 5: Solve for x
    x = 20,462,730,304/69,067
  6. Step 6: Final answer
    x = 296,273.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.