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Finding the Third Proportional to 67,286 and 99,626

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Solution

The third proportional to 67,286 and 99,626 is: 147,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,286 : 99,626 = 99,626 : x
  2. Step 2: Convert to fraction form
    67,286/99,626 = 99,626/x
  3. Step 3: Cross multiply
    67,286x = 99,626 × 99,626
  4. Step 4: Simplify right side
    67,286x = 9,925,339,876
  5. Step 5: Solve for x
    x = 9,925,339,876/67,286
  6. Step 6: Final answer
    x = 147,509.73

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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.