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Finding the Third Proportional to 129,832 and 196,152

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Solution

The third proportional to 129,832 and 196,152 is: 296,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,832 : 196,152 = 196,152 : x
  2. Step 2: Convert to fraction form
    129,832/196,152 = 196,152/x
  3. Step 3: Cross multiply
    129,832x = 196,152 × 196,152
  4. Step 4: Simplify right side
    129,832x = 38,475,607,104
  5. Step 5: Solve for x
    x = 38,475,607,104/129,832
  6. Step 6: Final answer
    x = 296,349.18

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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.