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Finding the Third Proportional to 50,696 and 110,464

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Solution

The third proportional to 50,696 and 110,464 is: 240,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,696 : 110,464 = 110,464 : x
  2. Step 2: Convert to fraction form
    50,696/110,464 = 110,464/x
  3. Step 3: Cross multiply
    50,696x = 110,464 × 110,464
  4. Step 4: Simplify right side
    50,696x = 12,202,295,296
  5. Step 5: Solve for x
    x = 12,202,295,296/50,696
  6. Step 6: Final answer
    x = 240,695.43

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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.