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Finding the Third Proportional to 70,852 and 108,555

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Solution

The third proportional to 70,852 and 108,555 is: 166,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852 : 108,555 = 108,555 : x
  2. Step 2: Convert to fraction form
    70,852/108,555 = 108,555/x
  3. Step 3: Cross multiply
    70,852x = 108,555 × 108,555
  4. Step 4: Simplify right side
    70,852x = 11,784,188,025
  5. Step 5: Solve for x
    x = 11,784,188,025/70,852
  6. Step 6: Final answer
    x = 166,321.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.