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Finding the Third Proportional to 67,067 and 144,673

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Solution

The third proportional to 67,067 and 144,673 is: 312,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,067 : 144,673 = 144,673 : x
  2. Step 2: Convert to fraction form
    67,067/144,673 = 144,673/x
  3. Step 3: Cross multiply
    67,067x = 144,673 × 144,673
  4. Step 4: Simplify right side
    67,067x = 20,930,276,929
  5. Step 5: Solve for x
    x = 20,930,276,929/67,067
  6. Step 6: Final answer
    x = 312,080.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.