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Finding the Third Proportional to 84,881 and 183,101

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Solution

The third proportional to 84,881 and 183,101 is: 394,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,881 : 183,101 = 183,101 : x
  2. Step 2: Convert to fraction form
    84,881/183,101 = 183,101/x
  3. Step 3: Cross multiply
    84,881x = 183,101 × 183,101
  4. Step 4: Simplify right side
    84,881x = 33,525,976,201
  5. Step 5: Solve for x
    x = 33,525,976,201/84,881
  6. Step 6: Final answer
    x = 394,976.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.