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Finding the Third Proportional to 42,286.50 and 98,325

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Solution

The third proportional to 42,286.50 and 98,325 is: 228,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286.50 : 98,325 = 98,325 : x
  2. Step 2: Convert to fraction form
    42,286.50/98,325 = 98,325/x
  3. Step 3: Cross multiply
    42,286.50x = 98,325 × 98,325
  4. Step 4: Simplify right side
    42,286.50x = 9,667,805,625
  5. Step 5: Solve for x
    x = 9,667,805,625/42,286.50
  6. Step 6: Final answer
    x = 228,626.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.