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Finding the Third Proportional to 67,067 and 142,129

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Solution

The third proportional to 67,067 and 142,129 is: 301,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,067 : 142,129 = 142,129 : x
  2. Step 2: Convert to fraction form
    67,067/142,129 = 142,129/x
  3. Step 3: Cross multiply
    67,067x = 142,129 × 142,129
  4. Step 4: Simplify right side
    67,067x = 20,200,652,641
  5. Step 5: Solve for x
    x = 20,200,652,641/67,067
  6. Step 6: Final answer
    x = 301,201.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.