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Finding the Third Proportional to 34,176 and 74,568

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Solution

The third proportional to 34,176 and 74,568 is: 162,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176 : 74,568 = 74,568 : x
  2. Step 2: Convert to fraction form
    34,176/74,568 = 74,568/x
  3. Step 3: Cross multiply
    34,176x = 74,568 × 74,568
  4. Step 4: Simplify right side
    34,176x = 5,560,386,624
  5. Step 5: Solve for x
    x = 5,560,386,624/34,176
  6. Step 6: Final answer
    x = 162,698.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.