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Finding the Third Proportional to 111,340 and 179,615

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Solution

The third proportional to 111,340 and 179,615 is: 289,757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,340 : 179,615 = 179,615 : x
  2. Step 2: Convert to fraction form
    111,340/179,615 = 179,615/x
  3. Step 3: Cross multiply
    111,340x = 179,615 × 179,615
  4. Step 4: Simplify right side
    111,340x = 32,261,548,225
  5. Step 5: Solve for x
    x = 32,261,548,225/111,340
  6. Step 6: Final answer
    x = 289,757.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.