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Finding the Third Proportional to 89,542 and 193,073

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Solution

The third proportional to 89,542 and 193,073 is: 416,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,542 : 193,073 = 193,073 : x
  2. Step 2: Convert to fraction form
    89,542/193,073 = 193,073/x
  3. Step 3: Cross multiply
    89,542x = 193,073 × 193,073
  4. Step 4: Simplify right side
    89,542x = 37,277,183,329
  5. Step 5: Solve for x
    x = 37,277,183,329/89,542
  6. Step 6: Final answer
    x = 416,309.48

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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.