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Finding the Third Proportional to 104,073 and 219,021

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Solution

The third proportional to 104,073 and 219,021 is: 460,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,073 : 219,021 = 219,021 : x
  2. Step 2: Convert to fraction form
    104,073/219,021 = 219,021/x
  3. Step 3: Cross multiply
    104,073x = 219,021 × 219,021
  4. Step 4: Simplify right side
    104,073x = 47,970,198,441
  5. Step 5: Solve for x
    x = 47,970,198,441/104,073
  6. Step 6: Final answer
    x = 460,928.37

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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.