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Finding the Third Proportional to 49,054 and 106,644

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Solution

The third proportional to 49,054 and 106,644 is: 231,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,054 : 106,644 = 106,644 : x
  2. Step 2: Convert to fraction form
    49,054/106,644 = 106,644/x
  3. Step 3: Cross multiply
    49,054x = 106,644 × 106,644
  4. Step 4: Simplify right side
    49,054x = 11,372,942,736
  5. Step 5: Solve for x
    x = 11,372,942,736/49,054
  6. Step 6: Final answer
    x = 231,845.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.