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Finding the Third Proportional to 41,541 and 90,093

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Solution

The third proportional to 41,541 and 90,093 is: 195,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,541 : 90,093 = 90,093 : x
  2. Step 2: Convert to fraction form
    41,541/90,093 = 90,093/x
  3. Step 3: Cross multiply
    41,541x = 90,093 × 90,093
  4. Step 4: Simplify right side
    41,541x = 8,116,748,649
  5. Step 5: Solve for x
    x = 8,116,748,649/41,541
  6. Step 6: Final answer
    x = 195,391.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.