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Finding the Third Proportional to 89,878 and 131,568

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Solution

The third proportional to 89,878 and 131,568 is: 192,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,878 : 131,568 = 131,568 : x
  2. Step 2: Convert to fraction form
    89,878/131,568 = 131,568/x
  3. Step 3: Cross multiply
    89,878x = 131,568 × 131,568
  4. Step 4: Simplify right side
    89,878x = 17,310,138,624
  5. Step 5: Solve for x
    x = 17,310,138,624/89,878
  6. Step 6: Final answer
    x = 192,595.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.