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Finding the Third Proportional to 129,022 and 195,477

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Solution

The third proportional to 129,022 and 195,477 is: 296,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,022 : 195,477 = 195,477 : x
  2. Step 2: Convert to fraction form
    129,022/195,477 = 195,477/x
  3. Step 3: Cross multiply
    129,022x = 195,477 × 195,477
  4. Step 4: Simplify right side
    129,022x = 38,211,257,529
  5. Step 5: Solve for x
    x = 38,211,257,529/129,022
  6. Step 6: Final answer
    x = 296,160.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.