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Finding the Third Proportional to 104,109.75 and 224,772.75

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Solution

The third proportional to 104,109.75 and 224,772.75 is: 485,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,109.75 : 224,772.75 = 224,772.75 : x
  2. Step 2: Convert to fraction form
    104,109.75/224,772.75 = 224,772.75/x
  3. Step 3: Cross multiply
    104,109.75x = 224,772.75 × 224,772.75
  4. Step 4: Simplify right side
    104,109.75x = 50,522,789,142.56
  5. Step 5: Solve for x
    x = 50,522,789,142.56/104,109.75
  6. Step 6: Final answer
    x = 485,283.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.