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Finding the Third Proportional to 104,139 and 224,100

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Solution

The third proportional to 104,139 and 224,100 is: 482,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,139 : 224,100 = 224,100 : x
  2. Step 2: Convert to fraction form
    104,139/224,100 = 224,100/x
  3. Step 3: Cross multiply
    104,139x = 224,100 × 224,100
  4. Step 4: Simplify right side
    104,139x = 50,220,810,000
  5. Step 5: Solve for x
    x = 50,220,810,000/104,139
  6. Step 6: Final answer
    x = 482,247.86

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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.