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Finding the Third Proportional to 84,096 and 170,568

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Solution

The third proportional to 84,096 and 170,568 is: 345,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,096 : 170,568 = 170,568 : x
  2. Step 2: Convert to fraction form
    84,096/170,568 = 170,568/x
  3. Step 3: Cross multiply
    84,096x = 170,568 × 170,568
  4. Step 4: Simplify right side
    84,096x = 29,093,442,624
  5. Step 5: Solve for x
    x = 29,093,442,624/84,096
  6. Step 6: Final answer
    x = 345,955.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.