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Finding the Third Proportional to 36,642 and 78,027

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Solution

The third proportional to 36,642 and 78,027 is: 166,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,642 : 78,027 = 78,027 : x
  2. Step 2: Convert to fraction form
    36,642/78,027 = 78,027/x
  3. Step 3: Cross multiply
    36,642x = 78,027 × 78,027
  4. Step 4: Simplify right side
    36,642x = 6,088,212,729
  5. Step 5: Solve for x
    x = 6,088,212,729/36,642
  6. Step 6: Final answer
    x = 166,153.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.