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Finding the Third Proportional to 49,067 and 106,270

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Solution

The third proportional to 49,067 and 106,270 is: 230,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,067 : 106,270 = 106,270 : x
  2. Step 2: Convert to fraction form
    49,067/106,270 = 106,270/x
  3. Step 3: Cross multiply
    49,067x = 106,270 × 106,270
  4. Step 4: Simplify right side
    49,067x = 11,293,312,900
  5. Step 5: Solve for x
    x = 11,293,312,900/49,067
  6. Step 6: Final answer
    x = 230,161.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.