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Finding the Third Proportional to 49,074 and 106,736

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Solution

The third proportional to 49,074 and 106,736 is: 232,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,074 : 106,736 = 106,736 : x
  2. Step 2: Convert to fraction form
    49,074/106,736 = 106,736/x
  3. Step 3: Cross multiply
    49,074x = 106,736 × 106,736
  4. Step 4: Simplify right side
    49,074x = 11,392,573,696
  5. Step 5: Solve for x
    x = 11,392,573,696/49,074
  6. Step 6: Final answer
    x = 232,150.91

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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.