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Finding the Third Proportional to 119,986 and 183,615

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Solution

The third proportional to 119,986 and 183,615 is: 280,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,986 : 183,615 = 183,615 : x
  2. Step 2: Convert to fraction form
    119,986/183,615 = 183,615/x
  3. Step 3: Cross multiply
    119,986x = 183,615 × 183,615
  4. Step 4: Simplify right side
    119,986x = 33,714,468,225
  5. Step 5: Solve for x
    x = 33,714,468,225/119,986
  6. Step 6: Final answer
    x = 280,986.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.