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Finding the Third Proportional to 84,503.25 and 131,604.75

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Solution

The third proportional to 84,503.25 and 131,604.75 is: 204,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,503.25 : 131,604.75 = 131,604.75 : x
  2. Step 2: Convert to fraction form
    84,503.25/131,604.75 = 131,604.75/x
  3. Step 3: Cross multiply
    84,503.25x = 131,604.75 × 131,604.75
  4. Step 4: Simplify right side
    84,503.25x = 17,319,810,222.56
  5. Step 5: Solve for x
    x = 17,319,810,222.56/84,503.25
  6. Step 6: Final answer
    x = 204,960.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.