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Finding the Third Proportional to 57,976 and 82,698

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Solution

The third proportional to 57,976 and 82,698 is: 117,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,976 : 82,698 = 82,698 : x
  2. Step 2: Convert to fraction form
    57,976/82,698 = 82,698/x
  3. Step 3: Cross multiply
    57,976x = 82,698 × 82,698
  4. Step 4: Simplify right side
    57,976x = 6,838,959,204
  5. Step 5: Solve for x
    x = 6,838,959,204/57,976
  6. Step 6: Final answer
    x = 117,961.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.