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Finding the Third Proportional to 131,608 and 187,568

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Solution

The third proportional to 131,608 and 187,568 is: 267,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,608 : 187,568 = 187,568 : x
  2. Step 2: Convert to fraction form
    131,608/187,568 = 187,568/x
  3. Step 3: Cross multiply
    131,608x = 187,568 × 187,568
  4. Step 4: Simplify right side
    131,608x = 35,181,754,624
  5. Step 5: Solve for x
    x = 35,181,754,624/131,608
  6. Step 6: Final answer
    x = 267,322.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.