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Finding the Third Proportional to 96,738.38 and 146,568

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Solution

The third proportional to 96,738.38 and 146,568 is: 222,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,738.38 : 146,568 = 146,568 : x
  2. Step 2: Convert to fraction form
    96,738.38/146,568 = 146,568/x
  3. Step 3: Cross multiply
    96,738.38x = 146,568 × 146,568
  4. Step 4: Simplify right side
    96,738.38x = 21,482,178,624
  5. Step 5: Solve for x
    x = 21,482,178,624/96,738.38
  6. Step 6: Final answer
    x = 222,064.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.