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Finding the Third Proportional to 76,158 and 165,027

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Solution

The third proportional to 76,158 and 165,027 is: 357,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,158 : 165,027 = 165,027 : x
  2. Step 2: Convert to fraction form
    76,158/165,027 = 165,027/x
  3. Step 3: Cross multiply
    76,158x = 165,027 × 165,027
  4. Step 4: Simplify right side
    76,158x = 27,233,910,729
  5. Step 5: Solve for x
    x = 27,233,910,729/76,158
  6. Step 6: Final answer
    x = 357,597.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.