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Finding the Third Proportional to 104,006 and 228,100

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Solution

The third proportional to 104,006 and 228,100 is: 500,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,006 : 228,100 = 228,100 : x
  2. Step 2: Convert to fraction form
    104,006/228,100 = 228,100/x
  3. Step 3: Cross multiply
    104,006x = 228,100 × 228,100
  4. Step 4: Simplify right side
    104,006x = 52,029,610,000
  5. Step 5: Solve for x
    x = 52,029,610,000/104,006
  6. Step 6: Final answer
    x = 500,255.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.