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Finding the Third Proportional to 84,640 and 182,042

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Solution

The third proportional to 84,640 and 182,042 is: 391,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,640 : 182,042 = 182,042 : x
  2. Step 2: Convert to fraction form
    84,640/182,042 = 182,042/x
  3. Step 3: Cross multiply
    84,640x = 182,042 × 182,042
  4. Step 4: Simplify right side
    84,640x = 33,139,289,764
  5. Step 5: Solve for x
    x = 33,139,289,764/84,640
  6. Step 6: Final answer
    x = 391,532.25

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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.