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Finding the Third Proportional to 41,838 and 91,942

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Solution

The third proportional to 41,838 and 91,942 is: 202,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,838 : 91,942 = 91,942 : x
  2. Step 2: Convert to fraction form
    41,838/91,942 = 91,942/x
  3. Step 3: Cross multiply
    41,838x = 91,942 × 91,942
  4. Step 4: Simplify right side
    41,838x = 8,453,331,364
  5. Step 5: Solve for x
    x = 8,453,331,364/41,838
  6. Step 6: Final answer
    x = 202,049.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.