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Finding the Third Proportional to 41,625 and 90,639

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Solution

The third proportional to 41,625 and 90,639 is: 197,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,625 : 90,639 = 90,639 : x
  2. Step 2: Convert to fraction form
    41,625/90,639 = 90,639/x
  3. Step 3: Cross multiply
    41,625x = 90,639 × 90,639
  4. Step 4: Simplify right side
    41,625x = 8,215,428,321
  5. Step 5: Solve for x
    x = 8,215,428,321/41,625
  6. Step 6: Final answer
    x = 197,367.65

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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.