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Finding the Third Proportional to 50,224 and 68,866

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Solution

The third proportional to 50,224 and 68,866 is: 94,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,224 : 68,866 = 68,866 : x
  2. Step 2: Convert to fraction form
    50,224/68,866 = 68,866/x
  3. Step 3: Cross multiply
    50,224x = 68,866 × 68,866
  4. Step 4: Simplify right side
    50,224x = 4,742,525,956
  5. Step 5: Solve for x
    x = 4,742,525,956/50,224
  6. Step 6: Final answer
    x = 94,427.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.