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Finding the Third Proportional to 41,048 and 89,810

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Solution

The third proportional to 41,048 and 89,810 is: 196,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,048 : 89,810 = 89,810 : x
  2. Step 2: Convert to fraction form
    41,048/89,810 = 89,810/x
  3. Step 3: Cross multiply
    41,048x = 89,810 × 89,810
  4. Step 4: Simplify right side
    41,048x = 8,065,836,100
  5. Step 5: Solve for x
    x = 8,065,836,100/41,048
  6. Step 6: Final answer
    x = 196,497.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.