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Finding the Third Proportional to 89,208 and 134,568

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Solution

The third proportional to 89,208 and 134,568 is: 202,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,208 : 134,568 = 134,568 : x
  2. Step 2: Convert to fraction form
    89,208/134,568 = 134,568/x
  3. Step 3: Cross multiply
    89,208x = 134,568 × 134,568
  4. Step 4: Simplify right side
    89,208x = 18,108,546,624
  5. Step 5: Solve for x
    x = 18,108,546,624/89,208
  6. Step 6: Final answer
    x = 202,992.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.