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Finding the Third Proportional to 69,067 and 106,655

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Solution

The third proportional to 69,067 and 106,655 is: 164,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,067 : 106,655 = 106,655 : x
  2. Step 2: Convert to fraction form
    69,067/106,655 = 106,655/x
  3. Step 3: Cross multiply
    69,067x = 106,655 × 106,655
  4. Step 4: Simplify right side
    69,067x = 11,375,289,025
  5. Step 5: Solve for x
    x = 11,375,289,025/69,067
  6. Step 6: Final answer
    x = 164,699.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.