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Finding the Third Proportional to 70,825 and 154,529

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Solution

The third proportional to 70,825 and 154,529 is: 337,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,825 : 154,529 = 154,529 : x
  2. Step 2: Convert to fraction form
    70,825/154,529 = 154,529/x
  3. Step 3: Cross multiply
    70,825x = 154,529 × 154,529
  4. Step 4: Simplify right side
    70,825x = 23,879,211,841
  5. Step 5: Solve for x
    x = 23,879,211,841/70,825
  6. Step 6: Final answer
    x = 337,157.95

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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.