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Finding the Third Proportional to 60,198 and 131,500

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Solution

The third proportional to 60,198 and 131,500 is: 287,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,198 : 131,500 = 131,500 : x
  2. Step 2: Convert to fraction form
    60,198/131,500 = 131,500/x
  3. Step 3: Cross multiply
    60,198x = 131,500 × 131,500
  4. Step 4: Simplify right side
    60,198x = 17,292,250,000
  5. Step 5: Solve for x
    x = 17,292,250,000/60,198
  6. Step 6: Final answer
    x = 287,256.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.