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Finding the Third Proportional to 104,056 and 223,894

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Solution

The third proportional to 104,056 and 223,894 is: 481,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,056 : 223,894 = 223,894 : x
  2. Step 2: Convert to fraction form
    104,056/223,894 = 223,894/x
  3. Step 3: Cross multiply
    104,056x = 223,894 × 223,894
  4. Step 4: Simplify right side
    104,056x = 50,128,523,236
  5. Step 5: Solve for x
    x = 50,128,523,236/104,056
  6. Step 6: Final answer
    x = 481,745.63

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Why These Related Problems?

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