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Finding the Third Proportional to 41,337 and 90,774

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Solution

The third proportional to 41,337 and 90,774 is: 199,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,337 : 90,774 = 90,774 : x
  2. Step 2: Convert to fraction form
    41,337/90,774 = 90,774/x
  3. Step 3: Cross multiply
    41,337x = 90,774 × 90,774
  4. Step 4: Simplify right side
    41,337x = 8,239,919,076
  5. Step 5: Solve for x
    x = 8,239,919,076/41,337
  6. Step 6: Final answer
    x = 199,335.20

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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.