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Finding the Third Proportional to 129,105 and 189,846

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Solution

The third proportional to 129,105 and 189,846 is: 279,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,105 : 189,846 = 189,846 : x
  2. Step 2: Convert to fraction form
    129,105/189,846 = 189,846/x
  3. Step 3: Cross multiply
    129,105x = 189,846 × 189,846
  4. Step 4: Simplify right side
    129,105x = 36,041,503,716
  5. Step 5: Solve for x
    x = 36,041,503,716/129,105
  6. Step 6: Final answer
    x = 279,164.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.