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Finding the Third Proportional to 41,757 and 89,349

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Solution

The third proportional to 41,757 and 89,349 is: 191,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,757 : 89,349 = 89,349 : x
  2. Step 2: Convert to fraction form
    41,757/89,349 = 89,349/x
  3. Step 3: Cross multiply
    41,757x = 89,349 × 89,349
  4. Step 4: Simplify right side
    41,757x = 7,983,243,801
  5. Step 5: Solve for x
    x = 7,983,243,801/41,757
  6. Step 6: Final answer
    x = 191,183.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.