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Finding the Third Proportional to 129,876 and 195,195

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Solution

The third proportional to 129,876 and 195,195 is: 293,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,876 : 195,195 = 195,195 : x
  2. Step 2: Convert to fraction form
    129,876/195,195 = 195,195/x
  3. Step 3: Cross multiply
    129,876x = 195,195 × 195,195
  4. Step 4: Simplify right side
    129,876x = 38,101,088,025
  5. Step 5: Solve for x
    x = 38,101,088,025/129,876
  6. Step 6: Final answer
    x = 293,365.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.