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Finding the Third Proportional to 104,072 and 223,942

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Solution

The third proportional to 104,072 and 223,942 is: 481,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,072 : 223,942 = 223,942 : x
  2. Step 2: Convert to fraction form
    104,072/223,942 = 223,942/x
  3. Step 3: Cross multiply
    104,072x = 223,942 × 223,942
  4. Step 4: Simplify right side
    104,072x = 50,150,019,364
  5. Step 5: Solve for x
    x = 50,150,019,364/104,072
  6. Step 6: Final answer
    x = 481,878.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.