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Finding the Third Proportional to 129,238.03 and 197,593.17

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Solution

The third proportional to 129,238.03 and 197,593.17 is: 302,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,238.03 : 197,593.17 = 197,593.17 : x
  2. Step 2: Convert to fraction form
    129,238.03/197,593.17 = 197,593.17/x
  3. Step 3: Cross multiply
    129,238.03x = 197,593.17 × 197,593.17
  4. Step 4: Simplify right side
    129,238.03x = 39,043,061,571.62
  5. Step 5: Solve for x
    x = 39,043,061,571.62/129,238.03
  6. Step 6: Final answer
    x = 302,101.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.