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Finding the Third Proportional to 56,916 and 82,227

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Solution

The third proportional to 56,916 and 82,227 is: 118,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,916 : 82,227 = 82,227 : x
  2. Step 2: Convert to fraction form
    56,916/82,227 = 82,227/x
  3. Step 3: Cross multiply
    56,916x = 82,227 × 82,227
  4. Step 4: Simplify right side
    56,916x = 6,761,279,529
  5. Step 5: Solve for x
    x = 6,761,279,529/56,916
  6. Step 6: Final answer
    x = 118,794.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.