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Finding the Third Proportional to 54,682 and 71,802

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Solution

The third proportional to 54,682 and 71,802 is: 94,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 71,802 = 71,802 : x
  2. Step 2: Convert to fraction form
    54,682/71,802 = 71,802/x
  3. Step 3: Cross multiply
    54,682x = 71,802 × 71,802
  4. Step 4: Simplify right side
    54,682x = 5,155,527,204
  5. Step 5: Solve for x
    x = 5,155,527,204/54,682
  6. Step 6: Final answer
    x = 94,281.98

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