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Finding the Third Proportional to 104,159 and 223,079

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Solution

The third proportional to 104,159 and 223,079 is: 477,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,159 : 223,079 = 223,079 : x
  2. Step 2: Convert to fraction form
    104,159/223,079 = 223,079/x
  3. Step 3: Cross multiply
    104,159x = 223,079 × 223,079
  4. Step 4: Simplify right side
    104,159x = 49,764,240,241
  5. Step 5: Solve for x
    x = 49,764,240,241/104,159
  6. Step 6: Final answer
    x = 477,771.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.