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Finding the Third Proportional to 41,515 and 91,753

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Solution

The third proportional to 41,515 and 91,753 is: 202,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,515 : 91,753 = 91,753 : x
  2. Step 2: Convert to fraction form
    41,515/91,753 = 91,753/x
  3. Step 3: Cross multiply
    41,515x = 91,753 × 91,753
  4. Step 4: Simplify right side
    41,515x = 8,418,613,009
  5. Step 5: Solve for x
    x = 8,418,613,009/41,515
  6. Step 6: Final answer
    x = 202,784.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.