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Finding the Third Proportional to 83,553.84 and 173,992.31

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Solution

The third proportional to 83,553.84 and 173,992.31 is: 362,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,553.84 : 173,992.31 = 173,992.31 : x
  2. Step 2: Convert to fraction form
    83,553.84/173,992.31 = 173,992.31/x
  3. Step 3: Cross multiply
    83,553.84x = 173,992.31 × 173,992.31
  4. Step 4: Simplify right side
    83,553.84x = 30,273,324,809.10
  5. Step 5: Solve for x
    x = 30,273,324,809.10/83,553.84
  6. Step 6: Final answer
    x = 362,321.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.