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Finding the Third Proportional to 36,624 and 78,936

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Solution

The third proportional to 36,624 and 78,936 is: 170,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,624 : 78,936 = 78,936 : x
  2. Step 2: Convert to fraction form
    36,624/78,936 = 78,936/x
  3. Step 3: Cross multiply
    36,624x = 78,936 × 78,936
  4. Step 4: Simplify right side
    36,624x = 6,230,892,096
  5. Step 5: Solve for x
    x = 6,230,892,096/36,624
  6. Step 6: Final answer
    x = 170,131.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.