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Finding the Third Proportional to 119,615 and 192,726

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Solution

The third proportional to 119,615 and 192,726 is: 310,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,615 : 192,726 = 192,726 : x
  2. Step 2: Convert to fraction form
    119,615/192,726 = 192,726/x
  3. Step 3: Cross multiply
    119,615x = 192,726 × 192,726
  4. Step 4: Simplify right side
    119,615x = 37,143,311,076
  5. Step 5: Solve for x
    x = 37,143,311,076/119,615
  6. Step 6: Final answer
    x = 310,523.86

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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.