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Finding the Third Proportional to 55,889 and 108,966

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Solution

The third proportional to 55,889 and 108,966 is: 212,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,889 : 108,966 = 108,966 : x
  2. Step 2: Convert to fraction form
    55,889/108,966 = 108,966/x
  3. Step 3: Cross multiply
    55,889x = 108,966 × 108,966
  4. Step 4: Simplify right side
    55,889x = 11,873,589,156
  5. Step 5: Solve for x
    x = 11,873,589,156/55,889
  6. Step 6: Final answer
    x = 212,449.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.