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Finding the Third Proportional to 89,222 and 134,589

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Solution

The third proportional to 89,222 and 134,589 is: 203,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,222 : 134,589 = 134,589 : x
  2. Step 2: Convert to fraction form
    89,222/134,589 = 134,589/x
  3. Step 3: Cross multiply
    89,222x = 134,589 × 134,589
  4. Step 4: Simplify right side
    89,222x = 18,114,198,921
  5. Step 5: Solve for x
    x = 18,114,198,921/89,222
  6. Step 6: Final answer
    x = 203,023.91

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Why These Related Problems?

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