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Finding the Third Proportional to 41,746 and 91,451

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Solution

The third proportional to 41,746 and 91,451 is: 200,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,746 : 91,451 = 91,451 : x
  2. Step 2: Convert to fraction form
    41,746/91,451 = 91,451/x
  3. Step 3: Cross multiply
    41,746x = 91,451 × 91,451
  4. Step 4: Simplify right side
    41,746x = 8,363,285,401
  5. Step 5: Solve for x
    x = 8,363,285,401/41,746
  6. Step 6: Final answer
    x = 200,337.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.