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Finding the Third Proportional to 50,968 and 68,838

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Solution

The third proportional to 50,968 and 68,838 is: 92,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,968 : 68,838 = 68,838 : x
  2. Step 2: Convert to fraction form
    50,968/68,838 = 68,838/x
  3. Step 3: Cross multiply
    50,968x = 68,838 × 68,838
  4. Step 4: Simplify right side
    50,968x = 4,738,670,244
  5. Step 5: Solve for x
    x = 4,738,670,244/50,968
  6. Step 6: Final answer
    x = 92,973.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.