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Finding the Third Proportional to 54,164 and 79,766

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Solution

The third proportional to 54,164 and 79,766 is: 117,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,164 : 79,766 = 79,766 : x
  2. Step 2: Convert to fraction form
    54,164/79,766 = 79,766/x
  3. Step 3: Cross multiply
    54,164x = 79,766 × 79,766
  4. Step 4: Simplify right side
    54,164x = 6,362,614,756
  5. Step 5: Solve for x
    x = 6,362,614,756/54,164
  6. Step 6: Final answer
    x = 117,469.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.