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Finding the Third Proportional to 51,943 and 110,366

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Solution

The third proportional to 51,943 and 110,366 is: 234,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,943 : 110,366 = 110,366 : x
  2. Step 2: Convert to fraction form
    51,943/110,366 = 110,366/x
  3. Step 3: Cross multiply
    51,943x = 110,366 × 110,366
  4. Step 4: Simplify right side
    51,943x = 12,180,653,956
  5. Step 5: Solve for x
    x = 12,180,653,956/51,943
  6. Step 6: Final answer
    x = 234,500.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.