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Finding the Third Proportional to 54,682 and 85,668

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Solution

The third proportional to 54,682 and 85,668 is: 134,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 85,668 = 85,668 : x
  2. Step 2: Convert to fraction form
    54,682/85,668 = 85,668/x
  3. Step 3: Cross multiply
    54,682x = 85,668 × 85,668
  4. Step 4: Simplify right side
    54,682x = 7,339,006,224
  5. Step 5: Solve for x
    x = 7,339,006,224/54,682
  6. Step 6: Final answer
    x = 134,212.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.