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Finding the Third Proportional to 54,682 and 79,025

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Solution

The third proportional to 54,682 and 79,025 is: 114,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 79,025 = 79,025 : x
  2. Step 2: Convert to fraction form
    54,682/79,025 = 79,025/x
  3. Step 3: Cross multiply
    54,682x = 79,025 × 79,025
  4. Step 4: Simplify right side
    54,682x = 6,244,950,625
  5. Step 5: Solve for x
    x = 6,244,950,625/54,682
  6. Step 6: Final answer
    x = 114,204.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.