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Finding the Third Proportional to 103,072 and 150,234

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Solution

The third proportional to 103,072 and 150,234 is: 218,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,072 : 150,234 = 150,234 : x
  2. Step 2: Convert to fraction form
    103,072/150,234 = 150,234/x
  3. Step 3: Cross multiply
    103,072x = 150,234 × 150,234
  4. Step 4: Simplify right side
    103,072x = 22,570,254,756
  5. Step 5: Solve for x
    x = 22,570,254,756/103,072
  6. Step 6: Final answer
    x = 218,975.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.