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Finding the Third Proportional to 34,366 and 73,268

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Solution

The third proportional to 34,366 and 73,268 is: 156,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,366 : 73,268 = 73,268 : x
  2. Step 2: Convert to fraction form
    34,366/73,268 = 73,268/x
  3. Step 3: Cross multiply
    34,366x = 73,268 × 73,268
  4. Step 4: Simplify right side
    34,366x = 5,368,199,824
  5. Step 5: Solve for x
    x = 5,368,199,824/34,366
  6. Step 6: Final answer
    x = 156,206.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.