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Finding the Third Proportional to 49,952 and 107,029

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Solution

The third proportional to 49,952 and 107,029 is: 229,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952 : 107,029 = 107,029 : x
  2. Step 2: Convert to fraction form
    49,952/107,029 = 107,029/x
  3. Step 3: Cross multiply
    49,952x = 107,029 × 107,029
  4. Step 4: Simplify right side
    49,952x = 11,455,206,841
  5. Step 5: Solve for x
    x = 11,455,206,841/49,952
  6. Step 6: Final answer
    x = 229,324.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.