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Finding the Third Proportional to 49,931 and 108,609

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Solution

The third proportional to 49,931 and 108,609 is: 236,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,931 : 108,609 = 108,609 : x
  2. Step 2: Convert to fraction form
    49,931/108,609 = 108,609/x
  3. Step 3: Cross multiply
    49,931x = 108,609 × 108,609
  4. Step 4: Simplify right side
    49,931x = 11,795,914,881
  5. Step 5: Solve for x
    x = 11,795,914,881/49,931
  6. Step 6: Final answer
    x = 236,244.31

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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.