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Finding the Third Proportional to 104,086 and 227,030

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Solution

The third proportional to 104,086 and 227,030 is: 495,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,086 : 227,030 = 227,030 : x
  2. Step 2: Convert to fraction form
    104,086/227,030 = 227,030/x
  3. Step 3: Cross multiply
    104,086x = 227,030 × 227,030
  4. Step 4: Simplify right side
    104,086x = 51,542,620,900
  5. Step 5: Solve for x
    x = 51,542,620,900/104,086
  6. Step 6: Final answer
    x = 495,192.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.