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Finding the Third Proportional to 41,706 and 90,756

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Solution

The third proportional to 41,706 and 90,756 is: 197,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706 : 90,756 = 90,756 : x
  2. Step 2: Convert to fraction form
    41,706/90,756 = 90,756/x
  3. Step 3: Cross multiply
    41,706x = 90,756 × 90,756
  4. Step 4: Simplify right side
    41,706x = 8,236,651,536
  5. Step 5: Solve for x
    x = 8,236,651,536/41,706
  6. Step 6: Final answer
    x = 197,493.20

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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.