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Finding the Third Proportional to 67,502 and 156,268

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Solution

The third proportional to 67,502 and 156,268 is: 361,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,502 : 156,268 = 156,268 : x
  2. Step 2: Convert to fraction form
    67,502/156,268 = 156,268/x
  3. Step 3: Cross multiply
    67,502x = 156,268 × 156,268
  4. Step 4: Simplify right side
    67,502x = 24,419,687,824
  5. Step 5: Solve for x
    x = 24,419,687,824/67,502
  6. Step 6: Final answer
    x = 361,762.43

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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.