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Finding the Third Proportional to 67,344 and 99,713

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Solution

The third proportional to 67,344 and 99,713 is: 147,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,344 : 99,713 = 99,713 : x
  2. Step 2: Convert to fraction form
    67,344/99,713 = 99,713/x
  3. Step 3: Cross multiply
    67,344x = 99,713 × 99,713
  4. Step 4: Simplify right side
    67,344x = 9,942,682,369
  5. Step 5: Solve for x
    x = 9,942,682,369/67,344
  6. Step 6: Final answer
    x = 147,640.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.