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Finding the Third Proportional to 51,327 and 76,782

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Solution

The third proportional to 51,327 and 76,782 is: 114,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,327 : 76,782 = 76,782 : x
  2. Step 2: Convert to fraction form
    51,327/76,782 = 76,782/x
  3. Step 3: Cross multiply
    51,327x = 76,782 × 76,782
  4. Step 4: Simplify right side
    51,327x = 5,895,475,524
  5. Step 5: Solve for x
    x = 5,895,475,524/51,327
  6. Step 6: Final answer
    x = 114,861.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.