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Finding the Third Proportional to 30,299 and 62,067

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Solution

The third proportional to 30,299 and 62,067 is: 127,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299 : 62,067 = 62,067 : x
  2. Step 2: Convert to fraction form
    30,299/62,067 = 62,067/x
  3. Step 3: Cross multiply
    30,299x = 62,067 × 62,067
  4. Step 4: Simplify right side
    30,299x = 3,852,312,489
  5. Step 5: Solve for x
    x = 3,852,312,489/30,299
  6. Step 6: Final answer
    x = 127,143.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.