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Finding the Third Proportional to 49,956 and 107,018

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Solution

The third proportional to 49,956 and 107,018 is: 229,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,956 : 107,018 = 107,018 : x
  2. Step 2: Convert to fraction form
    49,956/107,018 = 107,018/x
  3. Step 3: Cross multiply
    49,956x = 107,018 × 107,018
  4. Step 4: Simplify right side
    49,956x = 11,452,852,324
  5. Step 5: Solve for x
    x = 11,452,852,324/49,956
  6. Step 6: Final answer
    x = 229,258.79

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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.