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Finding the Third Proportional to 69,704.25 and 108,084.75

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Solution

The third proportional to 69,704.25 and 108,084.75 is: 167,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,704.25 : 108,084.75 = 108,084.75 : x
  2. Step 2: Convert to fraction form
    69,704.25/108,084.75 = 108,084.75/x
  3. Step 3: Cross multiply
    69,704.25x = 108,084.75 × 108,084.75
  4. Step 4: Simplify right side
    69,704.25x = 11,682,313,182.56
  5. Step 5: Solve for x
    x = 11,682,313,182.56/69,704.25
  6. Step 6: Final answer
    x = 167,598.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.