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Finding the Third Proportional to 34,268 and 73,934

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Solution

The third proportional to 34,268 and 73,934 is: 159,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,268 : 73,934 = 73,934 : x
  2. Step 2: Convert to fraction form
    34,268/73,934 = 73,934/x
  3. Step 3: Cross multiply
    34,268x = 73,934 × 73,934
  4. Step 4: Simplify right side
    34,268x = 5,466,236,356
  5. Step 5: Solve for x
    x = 5,466,236,356/34,268
  6. Step 6: Final answer
    x = 159,514.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.