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Finding the Third Proportional to 67,200 and 143,232

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Solution

The third proportional to 67,200 and 143,232 is: 305,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,200 : 143,232 = 143,232 : x
  2. Step 2: Convert to fraction form
    67,200/143,232 = 143,232/x
  3. Step 3: Cross multiply
    67,200x = 143,232 × 143,232
  4. Step 4: Simplify right side
    67,200x = 20,515,405,824
  5. Step 5: Solve for x
    x = 20,515,405,824/67,200
  6. Step 6: Final answer
    x = 305,288.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.