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Finding the Third Proportional to 49,438 and 108,704

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Solution

The third proportional to 49,438 and 108,704 is: 239,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,438 : 108,704 = 108,704 : x
  2. Step 2: Convert to fraction form
    49,438/108,704 = 108,704/x
  3. Step 3: Cross multiply
    49,438x = 108,704 × 108,704
  4. Step 4: Simplify right side
    49,438x = 11,816,559,616
  5. Step 5: Solve for x
    x = 11,816,559,616/49,438
  6. Step 6: Final answer
    x = 239,017.75

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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.