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Finding the Third Proportional to 73,452 and 158,568

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Solution

The third proportional to 73,452 and 158,568 is: 342,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,452 : 158,568 = 158,568 : x
  2. Step 2: Convert to fraction form
    73,452/158,568 = 158,568/x
  3. Step 3: Cross multiply
    73,452x = 158,568 × 158,568
  4. Step 4: Simplify right side
    73,452x = 25,143,810,624
  5. Step 5: Solve for x
    x = 25,143,810,624/73,452
  6. Step 6: Final answer
    x = 342,316.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.