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Finding the Third Proportional to 104,112 and 225,708

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Solution

The third proportional to 104,112 and 225,708 is: 489,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,112 : 225,708 = 225,708 : x
  2. Step 2: Convert to fraction form
    104,112/225,708 = 225,708/x
  3. Step 3: Cross multiply
    104,112x = 225,708 × 225,708
  4. Step 4: Simplify right side
    104,112x = 50,944,101,264
  5. Step 5: Solve for x
    x = 50,944,101,264/104,112
  6. Step 6: Final answer
    x = 489,320.17

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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.