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Finding the Third Proportional to 88,104 and 184,824

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Solution

The third proportional to 88,104 and 184,824 is: 387,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,104 : 184,824 = 184,824 : x
  2. Step 2: Convert to fraction form
    88,104/184,824 = 184,824/x
  3. Step 3: Cross multiply
    88,104x = 184,824 × 184,824
  4. Step 4: Simplify right side
    88,104x = 34,159,910,976
  5. Step 5: Solve for x
    x = 34,159,910,976/88,104
  6. Step 6: Final answer
    x = 387,722.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.