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Finding the Third Proportional to 84,141 and 182,979

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Solution

The third proportional to 84,141 and 182,979 is: 397,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,141 : 182,979 = 182,979 : x
  2. Step 2: Convert to fraction form
    84,141/182,979 = 182,979/x
  3. Step 3: Cross multiply
    84,141x = 182,979 × 182,979
  4. Step 4: Simplify right side
    84,141x = 33,481,314,441
  5. Step 5: Solve for x
    x = 33,481,314,441/84,141
  6. Step 6: Final answer
    x = 397,919.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.