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Finding the Third Proportional to 51,118 and 110,012

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Solution

The third proportional to 51,118 and 110,012 is: 236,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,118 : 110,012 = 110,012 : x
  2. Step 2: Convert to fraction form
    51,118/110,012 = 110,012/x
  3. Step 3: Cross multiply
    51,118x = 110,012 × 110,012
  4. Step 4: Simplify right side
    51,118x = 12,102,640,144
  5. Step 5: Solve for x
    x = 12,102,640,144/51,118
  6. Step 6: Final answer
    x = 236,758.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.