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Finding the Third Proportional to 49,456 and 106,112

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Solution

The third proportional to 49,456 and 106,112 is: 227,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456 : 106,112 = 106,112 : x
  2. Step 2: Convert to fraction form
    49,456/106,112 = 106,112/x
  3. Step 3: Cross multiply
    49,456x = 106,112 × 106,112
  4. Step 4: Simplify right side
    49,456x = 11,259,756,544
  5. Step 5: Solve for x
    x = 11,259,756,544/49,456
  6. Step 6: Final answer
    x = 227,672.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.