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Finding the Third Proportional to 49,668 and 101,522

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Solution

The third proportional to 49,668 and 101,522 is: 207,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,668 : 101,522 = 101,522 : x
  2. Step 2: Convert to fraction form
    49,668/101,522 = 101,522/x
  3. Step 3: Cross multiply
    49,668x = 101,522 × 101,522
  4. Step 4: Simplify right side
    49,668x = 10,306,716,484
  5. Step 5: Solve for x
    x = 10,306,716,484/49,668
  6. Step 6: Final answer
    x = 207,512.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.