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Finding the Third Proportional to 51,016 and 110,230

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Solution

The third proportional to 51,016 and 110,230 is: 238,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,016 : 110,230 = 110,230 : x
  2. Step 2: Convert to fraction form
    51,016/110,230 = 110,230/x
  3. Step 3: Cross multiply
    51,016x = 110,230 × 110,230
  4. Step 4: Simplify right side
    51,016x = 12,150,652,900
  5. Step 5: Solve for x
    x = 12,150,652,900/51,016
  6. Step 6: Final answer
    x = 238,173.38

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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.