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Finding the Third Proportional to 67,344 and 104,272

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Solution

The third proportional to 67,344 and 104,272 is: 161,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,344 : 104,272 = 104,272 : x
  2. Step 2: Convert to fraction form
    67,344/104,272 = 104,272/x
  3. Step 3: Cross multiply
    67,344x = 104,272 × 104,272
  4. Step 4: Simplify right side
    67,344x = 10,872,649,984
  5. Step 5: Solve for x
    x = 10,872,649,984/67,344
  6. Step 6: Final answer
    x = 161,449.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.