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Finding the Third Proportional to 60,524 and 131,380

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Solution

The third proportional to 60,524 and 131,380 is: 285,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,524 : 131,380 = 131,380 : x
  2. Step 2: Convert to fraction form
    60,524/131,380 = 131,380/x
  3. Step 3: Cross multiply
    60,524x = 131,380 × 131,380
  4. Step 4: Simplify right side
    60,524x = 17,260,704,400
  5. Step 5: Solve for x
    x = 17,260,704,400/60,524
  6. Step 6: Final answer
    x = 285,187.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.