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Finding the Third Proportional to 48,568 and 105,962

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Solution

The third proportional to 48,568 and 105,962 is: 231,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,568 : 105,962 = 105,962 : x
  2. Step 2: Convert to fraction form
    48,568/105,962 = 105,962/x
  3. Step 3: Cross multiply
    48,568x = 105,962 × 105,962
  4. Step 4: Simplify right side
    48,568x = 11,227,945,444
  5. Step 5: Solve for x
    x = 11,227,945,444/48,568
  6. Step 6: Final answer
    x = 231,179.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.