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Finding the Third Proportional to 108,877 and 166,555

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Solution

The third proportional to 108,877 and 166,555 is: 254,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,877 : 166,555 = 166,555 : x
  2. Step 2: Convert to fraction form
    108,877/166,555 = 166,555/x
  3. Step 3: Cross multiply
    108,877x = 166,555 × 166,555
  4. Step 4: Simplify right side
    108,877x = 27,740,568,025
  5. Step 5: Solve for x
    x = 27,740,568,025/108,877
  6. Step 6: Final answer
    x = 254,788.14

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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.