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Finding the Third Proportional to 49,360 and 106,016

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Solution

The third proportional to 49,360 and 106,016 is: 227,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,360 : 106,016 = 106,016 : x
  2. Step 2: Convert to fraction form
    49,360/106,016 = 106,016/x
  3. Step 3: Cross multiply
    49,360x = 106,016 × 106,016
  4. Step 4: Simplify right side
    49,360x = 11,239,392,256
  5. Step 5: Solve for x
    x = 11,239,392,256/49,360
  6. Step 6: Final answer
    x = 227,702.44

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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.