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Finding the Third Proportional to 72,714 and 158,568

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Solution

The third proportional to 72,714 and 158,568 is: 345,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,714 : 158,568 = 158,568 : x
  2. Step 2: Convert to fraction form
    72,714/158,568 = 158,568/x
  3. Step 3: Cross multiply
    72,714x = 158,568 × 158,568
  4. Step 4: Simplify right side
    72,714x = 25,143,810,624
  5. Step 5: Solve for x
    x = 25,143,810,624/72,714
  6. Step 6: Final answer
    x = 345,790.50

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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.