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Finding the Third Proportional to 104,074 and 221,112

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Solution

The third proportional to 104,074 and 221,112 is: 469,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,074 : 221,112 = 221,112 : x
  2. Step 2: Convert to fraction form
    104,074/221,112 = 221,112/x
  3. Step 3: Cross multiply
    104,074x = 221,112 × 221,112
  4. Step 4: Simplify right side
    104,074x = 48,890,516,544
  5. Step 5: Solve for x
    x = 48,890,516,544/104,074
  6. Step 6: Final answer
    x = 469,766.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.