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Finding the Third Proportional to 52,832 and 78,375

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Solution

The third proportional to 52,832 and 78,375 is: 116,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,832 : 78,375 = 78,375 : x
  2. Step 2: Convert to fraction form
    52,832/78,375 = 78,375/x
  3. Step 3: Cross multiply
    52,832x = 78,375 × 78,375
  4. Step 4: Simplify right side
    52,832x = 6,142,640,625
  5. Step 5: Solve for x
    x = 6,142,640,625/52,832
  6. Step 6: Final answer
    x = 116,267.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.