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Finding the Third Proportional to 84,012 and 182,786

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Solution

The third proportional to 84,012 and 182,786 is: 397,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,012 : 182,786 = 182,786 : x
  2. Step 2: Convert to fraction form
    84,012/182,786 = 182,786/x
  3. Step 3: Cross multiply
    84,012x = 182,786 × 182,786
  4. Step 4: Simplify right side
    84,012x = 33,410,721,796
  5. Step 5: Solve for x
    x = 33,410,721,796/84,012
  6. Step 6: Final answer
    x = 397,689.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.