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Finding the Third Proportional to 68,223 and 139,824

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Solution

The third proportional to 68,223 and 139,824 is: 286,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,223 : 139,824 = 139,824 : x
  2. Step 2: Convert to fraction form
    68,223/139,824 = 139,824/x
  3. Step 3: Cross multiply
    68,223x = 139,824 × 139,824
  4. Step 4: Simplify right side
    68,223x = 19,550,750,976
  5. Step 5: Solve for x
    x = 19,550,750,976/68,223
  6. Step 6: Final answer
    x = 286,571.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.