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Finding the Third Proportional to 83,264 and 126,982

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Solution

The third proportional to 83,264 and 126,982 is: 193,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264 : 126,982 = 126,982 : x
  2. Step 2: Convert to fraction form
    83,264/126,982 = 126,982/x
  3. Step 3: Cross multiply
    83,264x = 126,982 × 126,982
  4. Step 4: Simplify right side
    83,264x = 16,124,428,324
  5. Step 5: Solve for x
    x = 16,124,428,324/83,264
  6. Step 6: Final answer
    x = 193,654.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.