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Finding the Third Proportional to 85,266 and 184,104

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Solution

The third proportional to 85,266 and 184,104 is: 397,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,266 : 184,104 = 184,104 : x
  2. Step 2: Convert to fraction form
    85,266/184,104 = 184,104/x
  3. Step 3: Cross multiply
    85,266x = 184,104 × 184,104
  4. Step 4: Simplify right side
    85,266x = 33,894,282,816
  5. Step 5: Solve for x
    x = 33,894,282,816/85,266
  6. Step 6: Final answer
    x = 397,512.29

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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.