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Finding the Third Proportional to 40,751 and 85,927

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Solution

The third proportional to 40,751 and 85,927 is: 181,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,751 : 85,927 = 85,927 : x
  2. Step 2: Convert to fraction form
    40,751/85,927 = 85,927/x
  3. Step 3: Cross multiply
    40,751x = 85,927 × 85,927
  4. Step 4: Simplify right side
    40,751x = 7,383,449,329
  5. Step 5: Solve for x
    x = 7,383,449,329/40,751
  6. Step 6: Final answer
    x = 181,184.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.