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Finding the Third Proportional to 104,141 and 224,104

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Solution

The third proportional to 104,141 and 224,104 is: 482,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,141 : 224,104 = 224,104 : x
  2. Step 2: Convert to fraction form
    104,141/224,104 = 224,104/x
  3. Step 3: Cross multiply
    104,141x = 224,104 × 224,104
  4. Step 4: Simplify right side
    104,141x = 50,222,602,816
  5. Step 5: Solve for x
    x = 50,222,602,816/104,141
  6. Step 6: Final answer
    x = 482,255.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.