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Finding the Third Proportional to 68,544 and 148,672

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Solution

The third proportional to 68,544 and 148,672 is: 322,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,544 : 148,672 = 148,672 : x
  2. Step 2: Convert to fraction form
    68,544/148,672 = 148,672/x
  3. Step 3: Cross multiply
    68,544x = 148,672 × 148,672
  4. Step 4: Simplify right side
    68,544x = 22,103,363,584
  5. Step 5: Solve for x
    x = 22,103,363,584/68,544
  6. Step 6: Final answer
    x = 322,469.71

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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.