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Finding the Third Proportional to 104,004 and 202,824

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Solution

The third proportional to 104,004 and 202,824 is: 395,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,004 : 202,824 = 202,824 : x
  2. Step 2: Convert to fraction form
    104,004/202,824 = 202,824/x
  3. Step 3: Cross multiply
    104,004x = 202,824 × 202,824
  4. Step 4: Simplify right side
    104,004x = 41,137,574,976
  5. Step 5: Solve for x
    x = 41,137,574,976/104,004
  6. Step 6: Final answer
    x = 395,538.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.