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Finding the Third Proportional to 42,252 and 89,885

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Solution

The third proportional to 42,252 and 89,885 is: 191,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252 : 89,885 = 89,885 : x
  2. Step 2: Convert to fraction form
    42,252/89,885 = 89,885/x
  3. Step 3: Cross multiply
    42,252x = 89,885 × 89,885
  4. Step 4: Simplify right side
    42,252x = 8,079,313,225
  5. Step 5: Solve for x
    x = 8,079,313,225/42,252
  6. Step 6: Final answer
    x = 191,217.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.