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Finding the Third Proportional to 73,744 and 160,883

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Solution

The third proportional to 73,744 and 160,883 is: 350,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,744 : 160,883 = 160,883 : x
  2. Step 2: Convert to fraction form
    73,744/160,883 = 160,883/x
  3. Step 3: Cross multiply
    73,744x = 160,883 × 160,883
  4. Step 4: Simplify right side
    73,744x = 25,883,339,689
  5. Step 5: Solve for x
    x = 25,883,339,689/73,744
  6. Step 6: Final answer
    x = 350,989.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.