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Finding the Third Proportional to 40,151 and 84,824

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Solution

The third proportional to 40,151 and 84,824 is: 179,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,151 : 84,824 = 84,824 : x
  2. Step 2: Convert to fraction form
    40,151/84,824 = 84,824/x
  3. Step 3: Cross multiply
    40,151x = 84,824 × 84,824
  4. Step 4: Simplify right side
    40,151x = 7,195,110,976
  5. Step 5: Solve for x
    x = 7,195,110,976/40,151
  6. Step 6: Final answer
    x = 179,201.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.