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Finding the Third Proportional to 67,208 and 146,512

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Solution

The third proportional to 67,208 and 146,512 is: 319,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,208 : 146,512 = 146,512 : x
  2. Step 2: Convert to fraction form
    67,208/146,512 = 146,512/x
  3. Step 3: Cross multiply
    67,208x = 146,512 × 146,512
  4. Step 4: Simplify right side
    67,208x = 21,465,766,144
  5. Step 5: Solve for x
    x = 21,465,766,144/67,208
  6. Step 6: Final answer
    x = 319,393.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.