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Finding the Third Proportional to 60,373 and 131,965

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Solution

The third proportional to 60,373 and 131,965 is: 288,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,373 : 131,965 = 131,965 : x
  2. Step 2: Convert to fraction form
    60,373/131,965 = 131,965/x
  3. Step 3: Cross multiply
    60,373x = 131,965 × 131,965
  4. Step 4: Simplify right side
    60,373x = 17,414,761,225
  5. Step 5: Solve for x
    x = 17,414,761,225/60,373
  6. Step 6: Final answer
    x = 288,452.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.