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Finding the Third Proportional to 104,076 and 219,027

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Solution

The third proportional to 104,076 and 219,027 is: 460,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,076 : 219,027 = 219,027 : x
  2. Step 2: Convert to fraction form
    104,076/219,027 = 219,027/x
  3. Step 3: Cross multiply
    104,076x = 219,027 × 219,027
  4. Step 4: Simplify right side
    104,076x = 47,972,826,729
  5. Step 5: Solve for x
    x = 47,972,826,729/104,076
  6. Step 6: Final answer
    x = 460,940.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.