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Finding the Third Proportional to 129,846.75 and 195,624.75

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Solution

The third proportional to 129,846.75 and 195,624.75 is: 294,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,846.75 : 195,624.75 = 195,624.75 : x
  2. Step 2: Convert to fraction form
    129,846.75/195,624.75 = 195,624.75/x
  3. Step 3: Cross multiply
    129,846.75x = 195,624.75 × 195,624.75
  4. Step 4: Simplify right side
    129,846.75x = 38,269,042,812.56
  5. Step 5: Solve for x
    x = 38,269,042,812.56/129,846.75
  6. Step 6: Final answer
    x = 294,724.69

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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.