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Finding the Third Proportional to 67,524 and 156,324

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Solution

The third proportional to 67,524 and 156,324 is: 361,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,524 : 156,324 = 156,324 : x
  2. Step 2: Convert to fraction form
    67,524/156,324 = 156,324/x
  3. Step 3: Cross multiply
    67,524x = 156,324 × 156,324
  4. Step 4: Simplify right side
    67,524x = 24,437,192,976
  5. Step 5: Solve for x
    x = 24,437,192,976/67,524
  6. Step 6: Final answer
    x = 361,903.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.