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Finding the Third Proportional to 49,958 and 107,022

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Solution

The third proportional to 49,958 and 107,022 is: 229,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,958 : 107,022 = 107,022 : x
  2. Step 2: Convert to fraction form
    49,958/107,022 = 107,022/x
  3. Step 3: Cross multiply
    49,958x = 107,022 × 107,022
  4. Step 4: Simplify right side
    49,958x = 11,453,708,484
  5. Step 5: Solve for x
    x = 11,453,708,484/49,958
  6. Step 6: Final answer
    x = 229,266.75

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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.