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Finding the Third Proportional to 54,668 and 71,782

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Solution

The third proportional to 54,668 and 71,782 is: 94,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,668 : 71,782 = 71,782 : x
  2. Step 2: Convert to fraction form
    54,668/71,782 = 71,782/x
  3. Step 3: Cross multiply
    54,668x = 71,782 × 71,782
  4. Step 4: Simplify right side
    54,668x = 5,152,655,524
  5. Step 5: Solve for x
    x = 5,152,655,524/54,668
  6. Step 6: Final answer
    x = 94,253.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.