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Finding the Third Proportional to 84,964 and 173,626

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Solution

The third proportional to 84,964 and 173,626 is: 354,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,964 : 173,626 = 173,626 : x
  2. Step 2: Convert to fraction form
    84,964/173,626 = 173,626/x
  3. Step 3: Cross multiply
    84,964x = 173,626 × 173,626
  4. Step 4: Simplify right side
    84,964x = 30,145,987,876
  5. Step 5: Solve for x
    x = 30,145,987,876/84,964
  6. Step 6: Final answer
    x = 354,808.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.