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Finding the Third Proportional to 67,743 and 148,893

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Solution

The third proportional to 67,743 and 148,893 is: 327,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,743 : 148,893 = 148,893 : x
  2. Step 2: Convert to fraction form
    67,743/148,893 = 148,893/x
  3. Step 3: Cross multiply
    67,743x = 148,893 × 148,893
  4. Step 4: Simplify right side
    67,743x = 22,169,125,449
  5. Step 5: Solve for x
    x = 22,169,125,449/67,743
  6. Step 6: Final answer
    x = 327,253.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.