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Finding the Third Proportional to 104,745 and 227,705

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Solution

The third proportional to 104,745 and 227,705 is: 495,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,745 : 227,705 = 227,705 : x
  2. Step 2: Convert to fraction form
    104,745/227,705 = 227,705/x
  3. Step 3: Cross multiply
    104,745x = 227,705 × 227,705
  4. Step 4: Simplify right side
    104,745x = 51,849,567,025
  5. Step 5: Solve for x
    x = 51,849,567,025/104,745
  6. Step 6: Final answer
    x = 495,007.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.