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Finding the Third Proportional to 84,646 and 182,036

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Solution

The third proportional to 84,646 and 182,036 is: 391,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,646 : 182,036 = 182,036 : x
  2. Step 2: Convert to fraction form
    84,646/182,036 = 182,036/x
  3. Step 3: Cross multiply
    84,646x = 182,036 × 182,036
  4. Step 4: Simplify right side
    84,646x = 33,137,105,296
  5. Step 5: Solve for x
    x = 33,137,105,296/84,646
  6. Step 6: Final answer
    x = 391,478.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.