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Finding the Third Proportional to 89,098 and 192,122

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Solution

The third proportional to 89,098 and 192,122 is: 414,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,098 : 192,122 = 192,122 : x
  2. Step 2: Convert to fraction form
    89,098/192,122 = 192,122/x
  3. Step 3: Cross multiply
    89,098x = 192,122 × 192,122
  4. Step 4: Simplify right side
    89,098x = 36,910,862,884
  5. Step 5: Solve for x
    x = 36,910,862,884/89,098
  6. Step 6: Final answer
    x = 414,272.63

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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.