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Finding the Third Proportional to 104,120 and 225,604

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Solution

The third proportional to 104,120 and 225,604 is: 488,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,120 : 225,604 = 225,604 : x
  2. Step 2: Convert to fraction form
    104,120/225,604 = 225,604/x
  3. Step 3: Cross multiply
    104,120x = 225,604 × 225,604
  4. Step 4: Simplify right side
    104,120x = 50,897,164,816
  5. Step 5: Solve for x
    x = 50,897,164,816/104,120
  6. Step 6: Final answer
    x = 488,831.78

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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.