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Finding the Third Proportional to 104,051 and 223,892

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Solution

The third proportional to 104,051 and 223,892 is: 481,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,051 : 223,892 = 223,892 : x
  2. Step 2: Convert to fraction form
    104,051/223,892 = 223,892/x
  3. Step 3: Cross multiply
    104,051x = 223,892 × 223,892
  4. Step 4: Simplify right side
    104,051x = 50,127,627,664
  5. Step 5: Solve for x
    x = 50,127,627,664/104,051
  6. Step 6: Final answer
    x = 481,760.17

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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.