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Finding the Third Proportional to 67,244 and 146,318

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Solution

The third proportional to 67,244 and 146,318 is: 318,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,244 : 146,318 = 146,318 : x
  2. Step 2: Convert to fraction form
    67,244/146,318 = 146,318/x
  3. Step 3: Cross multiply
    67,244x = 146,318 × 146,318
  4. Step 4: Simplify right side
    67,244x = 21,408,957,124
  5. Step 5: Solve for x
    x = 21,408,957,124/67,244
  6. Step 6: Final answer
    x = 318,377.21

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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.