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Finding the Third Proportional to 69,206 and 151,615

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Solution

The third proportional to 69,206 and 151,615 is: 332,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,206 : 151,615 = 151,615 : x
  2. Step 2: Convert to fraction form
    69,206/151,615 = 151,615/x
  3. Step 3: Cross multiply
    69,206x = 151,615 × 151,615
  4. Step 4: Simplify right side
    69,206x = 22,987,108,225
  5. Step 5: Solve for x
    x = 22,987,108,225/69,206
  6. Step 6: Final answer
    x = 332,154.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.