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Finding the Third Proportional to 75,870 and 166,027

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Solution

The third proportional to 75,870 and 166,027 is: 363,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870 : 166,027 = 166,027 : x
  2. Step 2: Convert to fraction form
    75,870/166,027 = 166,027/x
  3. Step 3: Cross multiply
    75,870x = 166,027 × 166,027
  4. Step 4: Simplify right side
    75,870x = 27,564,964,729
  5. Step 5: Solve for x
    x = 27,564,964,729/75,870
  6. Step 6: Final answer
    x = 363,318.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.