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Finding the Third Proportional to 49,952 and 107,244

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Solution

The third proportional to 49,952 and 107,244 is: 230,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952 : 107,244 = 107,244 : x
  2. Step 2: Convert to fraction form
    49,952/107,244 = 107,244/x
  3. Step 3: Cross multiply
    49,952x = 107,244 × 107,244
  4. Step 4: Simplify right side
    49,952x = 11,501,275,536
  5. Step 5: Solve for x
    x = 11,501,275,536/49,952
  6. Step 6: Final answer
    x = 230,246.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.