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Finding the Third Proportional to 51,296 and 110,016

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Solution

The third proportional to 51,296 and 110,016 is: 235,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,296 : 110,016 = 110,016 : x
  2. Step 2: Convert to fraction form
    51,296/110,016 = 110,016/x
  3. Step 3: Cross multiply
    51,296x = 110,016 × 110,016
  4. Step 4: Simplify right side
    51,296x = 12,103,520,256
  5. Step 5: Solve for x
    x = 12,103,520,256/51,296
  6. Step 6: Final answer
    x = 235,954.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.