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Finding the Third Proportional to 104,970 and 221,766

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Solution

The third proportional to 104,970 and 221,766 is: 468,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,970 : 221,766 = 221,766 : x
  2. Step 2: Convert to fraction form
    104,970/221,766 = 221,766/x
  3. Step 3: Cross multiply
    104,970x = 221,766 × 221,766
  4. Step 4: Simplify right side
    104,970x = 49,180,158,756
  5. Step 5: Solve for x
    x = 49,180,158,756/104,970
  6. Step 6: Final answer
    x = 468,516.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.