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Finding the Third Proportional to 54,190 and 73,825

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Solution

The third proportional to 54,190 and 73,825 is: 100,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,190 : 73,825 = 73,825 : x
  2. Step 2: Convert to fraction form
    54,190/73,825 = 73,825/x
  3. Step 3: Cross multiply
    54,190x = 73,825 × 73,825
  4. Step 4: Simplify right side
    54,190x = 5,450,130,625
  5. Step 5: Solve for x
    x = 5,450,130,625/54,190
  6. Step 6: Final answer
    x = 100,574.47

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.