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Finding the Third Proportional to 51,018 and 110,234

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Solution

The third proportional to 51,018 and 110,234 is: 238,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018 : 110,234 = 110,234 : x
  2. Step 2: Convert to fraction form
    51,018/110,234 = 110,234/x
  3. Step 3: Cross multiply
    51,018x = 110,234 × 110,234
  4. Step 4: Simplify right side
    51,018x = 12,151,534,756
  5. Step 5: Solve for x
    x = 12,151,534,756/51,018
  6. Step 6: Final answer
    x = 238,181.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.