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Finding the Third Proportional to 41,884 and 88,616

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Solution

The third proportional to 41,884 and 88,616 is: 187,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884 : 88,616 = 88,616 : x
  2. Step 2: Convert to fraction form
    41,884/88,616 = 88,616/x
  3. Step 3: Cross multiply
    41,884x = 88,616 × 88,616
  4. Step 4: Simplify right side
    41,884x = 7,852,795,456
  5. Step 5: Solve for x
    x = 7,852,795,456/41,884
  6. Step 6: Final answer
    x = 187,489.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.