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Finding the Third Proportional to 50,144 and 74,668

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Solution

The third proportional to 50,144 and 74,668 is: 111,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,144 : 74,668 = 74,668 : x
  2. Step 2: Convert to fraction form
    50,144/74,668 = 74,668/x
  3. Step 3: Cross multiply
    50,144x = 74,668 × 74,668
  4. Step 4: Simplify right side
    50,144x = 5,575,310,224
  5. Step 5: Solve for x
    x = 5,575,310,224/50,144
  6. Step 6: Final answer
    x = 111,185.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.