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Finding the Third Proportional to 51,736 and 110,256

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Solution

The third proportional to 51,736 and 110,256 is: 234,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,736 : 110,256 = 110,256 : x
  2. Step 2: Convert to fraction form
    51,736/110,256 = 110,256/x
  3. Step 3: Cross multiply
    51,736x = 110,256 × 110,256
  4. Step 4: Simplify right side
    51,736x = 12,156,385,536
  5. Step 5: Solve for x
    x = 12,156,385,536/51,736
  6. Step 6: Final answer
    x = 234,969.57

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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.