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Finding the Third Proportional to 84,147 and 179,967

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Solution

The third proportional to 84,147 and 179,967 is: 384,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,147 : 179,967 = 179,967 : x
  2. Step 2: Convert to fraction form
    84,147/179,967 = 179,967/x
  3. Step 3: Cross multiply
    84,147x = 179,967 × 179,967
  4. Step 4: Simplify right side
    84,147x = 32,388,121,089
  5. Step 5: Solve for x
    x = 32,388,121,089/84,147
  6. Step 6: Final answer
    x = 384,899.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.