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Finding the Third Proportional to 129,585 and 196,193

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Solution

The third proportional to 129,585 and 196,193 is: 297,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,585 : 196,193 = 196,193 : x
  2. Step 2: Convert to fraction form
    129,585/196,193 = 196,193/x
  3. Step 3: Cross multiply
    129,585x = 196,193 × 196,193
  4. Step 4: Simplify right side
    129,585x = 38,491,693,249
  5. Step 5: Solve for x
    x = 38,491,693,249/129,585
  6. Step 6: Final answer
    x = 297,038.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.