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Finding the Third Proportional to 54,832 and 82,025

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Solution

The third proportional to 54,832 and 82,025 is: 122,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832 : 82,025 = 82,025 : x
  2. Step 2: Convert to fraction form
    54,832/82,025 = 82,025/x
  3. Step 3: Cross multiply
    54,832x = 82,025 × 82,025
  4. Step 4: Simplify right side
    54,832x = 6,728,100,625
  5. Step 5: Solve for x
    x = 6,728,100,625/54,832
  6. Step 6: Final answer
    x = 122,703.91

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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.