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Finding the Third Proportional to 104,074 and 223,935

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Solution

The third proportional to 104,074 and 223,935 is: 481,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,074 : 223,935 = 223,935 : x
  2. Step 2: Convert to fraction form
    104,074/223,935 = 223,935/x
  3. Step 3: Cross multiply
    104,074x = 223,935 × 223,935
  4. Step 4: Simplify right side
    104,074x = 50,146,884,225
  5. Step 5: Solve for x
    x = 50,146,884,225/104,074
  6. Step 6: Final answer
    x = 481,838.73

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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.