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Finding the Third Proportional to 51,002 and 110,893

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Solution

The third proportional to 51,002 and 110,893 is: 241,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,002 : 110,893 = 110,893 : x
  2. Step 2: Convert to fraction form
    51,002/110,893 = 110,893/x
  3. Step 3: Cross multiply
    51,002x = 110,893 × 110,893
  4. Step 4: Simplify right side
    51,002x = 12,297,257,449
  5. Step 5: Solve for x
    x = 12,297,257,449/51,002
  6. Step 6: Final answer
    x = 241,113.24

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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.