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Finding the Third Proportional to 41,963 and 89,920

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Solution

The third proportional to 41,963 and 89,920 is: 192,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,963 : 89,920 = 89,920 : x
  2. Step 2: Convert to fraction form
    41,963/89,920 = 89,920/x
  3. Step 3: Cross multiply
    41,963x = 89,920 × 89,920
  4. Step 4: Simplify right side
    41,963x = 8,085,606,400
  5. Step 5: Solve for x
    x = 8,085,606,400/41,963
  6. Step 6: Final answer
    x = 192,684.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.