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Finding the Third Proportional to 45,230 and 104,795

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Solution

The third proportional to 45,230 and 104,795 is: 242,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,230 : 104,795 = 104,795 : x
  2. Step 2: Convert to fraction form
    45,230/104,795 = 104,795/x
  3. Step 3: Cross multiply
    45,230x = 104,795 × 104,795
  4. Step 4: Simplify right side
    45,230x = 10,981,992,025
  5. Step 5: Solve for x
    x = 10,981,992,025/45,230
  6. Step 6: Final answer
    x = 242,803.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.