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Finding the Third Proportional to 34,568 and 72,613

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Solution

The third proportional to 34,568 and 72,613 is: 152,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568 : 72,613 = 72,613 : x
  2. Step 2: Convert to fraction form
    34,568/72,613 = 72,613/x
  3. Step 3: Cross multiply
    34,568x = 72,613 × 72,613
  4. Step 4: Simplify right side
    34,568x = 5,272,647,769
  5. Step 5: Solve for x
    x = 5,272,647,769/34,568
  6. Step 6: Final answer
    x = 152,529.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.