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Finding the Third Proportional to 89,568 and 193,122

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Solution

The third proportional to 89,568 and 193,122 is: 416,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,568 : 193,122 = 193,122 : x
  2. Step 2: Convert to fraction form
    89,568/193,122 = 193,122/x
  3. Step 3: Cross multiply
    89,568x = 193,122 × 193,122
  4. Step 4: Simplify right side
    89,568x = 37,296,106,884
  5. Step 5: Solve for x
    x = 37,296,106,884/89,568
  6. Step 6: Final answer
    x = 416,399.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.