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Finding the Third Proportional to 134,586 and 195,615

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Solution

The third proportional to 134,586 and 195,615 is: 284,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,586 : 195,615 = 195,615 : x
  2. Step 2: Convert to fraction form
    134,586/195,615 = 195,615/x
  3. Step 3: Cross multiply
    134,586x = 195,615 × 195,615
  4. Step 4: Simplify right side
    134,586x = 38,265,228,225
  5. Step 5: Solve for x
    x = 38,265,228,225/134,586
  6. Step 6: Final answer
    x = 284,318.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.