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Finding the Third Proportional to 129,916 and 195,728

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Solution

The third proportional to 129,916 and 195,728 is: 294,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,916 : 195,728 = 195,728 : x
  2. Step 2: Convert to fraction form
    129,916/195,728 = 195,728/x
  3. Step 3: Cross multiply
    129,916x = 195,728 × 195,728
  4. Step 4: Simplify right side
    129,916x = 38,309,449,984
  5. Step 5: Solve for x
    x = 38,309,449,984/129,916
  6. Step 6: Final answer
    x = 294,878.61

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