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Finding the Third Proportional to 49,554 and 106,004

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Solution

The third proportional to 49,554 and 106,004 is: 226,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,554 : 106,004 = 106,004 : x
  2. Step 2: Convert to fraction form
    49,554/106,004 = 106,004/x
  3. Step 3: Cross multiply
    49,554x = 106,004 × 106,004
  4. Step 4: Simplify right side
    49,554x = 11,236,848,016
  5. Step 5: Solve for x
    x = 11,236,848,016/49,554
  6. Step 6: Final answer
    x = 226,759.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.