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Finding the Third Proportional to 49,497 and 108,786

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Solution

The third proportional to 49,497 and 108,786 is: 239,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497 : 108,786 = 108,786 : x
  2. Step 2: Convert to fraction form
    49,497/108,786 = 108,786/x
  3. Step 3: Cross multiply
    49,497x = 108,786 × 108,786
  4. Step 4: Simplify right side
    49,497x = 11,834,393,796
  5. Step 5: Solve for x
    x = 11,834,393,796/49,497
  6. Step 6: Final answer
    x = 239,093.15

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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.