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Finding the Third Proportional to 90,622 and 187,615

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Solution

The third proportional to 90,622 and 187,615 is: 388,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,622 : 187,615 = 187,615 : x
  2. Step 2: Convert to fraction form
    90,622/187,615 = 187,615/x
  3. Step 3: Cross multiply
    90,622x = 187,615 × 187,615
  4. Step 4: Simplify right side
    90,622x = 35,199,388,225
  5. Step 5: Solve for x
    x = 35,199,388,225/90,622
  6. Step 6: Final answer
    x = 388,419.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.