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Finding the Third Proportional to 49,563 and 108,927

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Solution

The third proportional to 49,563 and 108,927 is: 239,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563 : 108,927 = 108,927 : x
  2. Step 2: Convert to fraction form
    49,563/108,927 = 108,927/x
  3. Step 3: Cross multiply
    49,563x = 108,927 × 108,927
  4. Step 4: Simplify right side
    49,563x = 11,865,091,329
  5. Step 5: Solve for x
    x = 11,865,091,329/49,563
  6. Step 6: Final answer
    x = 239,394.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.