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Finding the Third Proportional to 44,540 and 90,895

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Solution

The third proportional to 44,540 and 90,895 is: 185,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,540 : 90,895 = 90,895 : x
  2. Step 2: Convert to fraction form
    44,540/90,895 = 90,895/x
  3. Step 3: Cross multiply
    44,540x = 90,895 × 90,895
  4. Step 4: Simplify right side
    44,540x = 8,261,901,025
  5. Step 5: Solve for x
    x = 8,261,901,025/44,540
  6. Step 6: Final answer
    x = 185,493.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.