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Finding the Third Proportional to 67,493 and 146,638

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Solution

The third proportional to 67,493 and 146,638 is: 318,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,493 : 146,638 = 146,638 : x
  2. Step 2: Convert to fraction form
    67,493/146,638 = 146,638/x
  3. Step 3: Cross multiply
    67,493x = 146,638 × 146,638
  4. Step 4: Simplify right side
    67,493x = 21,502,703,044
  5. Step 5: Solve for x
    x = 21,502,703,044/67,493
  6. Step 6: Final answer
    x = 318,591.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.