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Finding the Third Proportional to 52,375 and 113,857

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Solution

The third proportional to 52,375 and 113,857 is: 247,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,375 : 113,857 = 113,857 : x
  2. Step 2: Convert to fraction form
    52,375/113,857 = 113,857/x
  3. Step 3: Cross multiply
    52,375x = 113,857 × 113,857
  4. Step 4: Simplify right side
    52,375x = 12,963,416,449
  5. Step 5: Solve for x
    x = 12,963,416,449/52,375
  6. Step 6: Final answer
    x = 247,511.53

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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.