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Finding the Third Proportional to 41,344 and 90,062

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Solution

The third proportional to 41,344 and 90,062 is: 196,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,344 : 90,062 = 90,062 : x
  2. Step 2: Convert to fraction form
    41,344/90,062 = 90,062/x
  3. Step 3: Cross multiply
    41,344x = 90,062 × 90,062
  4. Step 4: Simplify right side
    41,344x = 8,111,163,844
  5. Step 5: Solve for x
    x = 8,111,163,844/41,344
  6. Step 6: Final answer
    x = 196,187.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.