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Finding the Third Proportional to 49,663 and 108,251

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Solution

The third proportional to 49,663 and 108,251 is: 235,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663 : 108,251 = 108,251 : x
  2. Step 2: Convert to fraction form
    49,663/108,251 = 108,251/x
  3. Step 3: Cross multiply
    49,663x = 108,251 × 108,251
  4. Step 4: Simplify right side
    49,663x = 11,718,279,001
  5. Step 5: Solve for x
    x = 11,718,279,001/49,663
  6. Step 6: Final answer
    x = 235,955.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.