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Finding the Third Proportional to 83,553.56 and 173,991.56

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Solution

The third proportional to 83,553.56 and 173,991.56 is: 362,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,553.56 : 173,991.56 = 173,991.56 : x
  2. Step 2: Convert to fraction form
    83,553.56/173,991.56 = 173,991.56/x
  3. Step 3: Cross multiply
    83,553.56x = 173,991.56 × 173,991.56
  4. Step 4: Simplify right side
    83,553.56x = 30,273,063,821.19
  5. Step 5: Solve for x
    x = 30,273,063,821.19/83,553.56
  6. Step 6: Final answer
    x = 362,319.25

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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.