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Finding the Third Proportional to 85,599 and 184,374

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Solution

The third proportional to 85,599 and 184,374 is: 397,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,599 : 184,374 = 184,374 : x
  2. Step 2: Convert to fraction form
    85,599/184,374 = 184,374/x
  3. Step 3: Cross multiply
    85,599x = 184,374 × 184,374
  4. Step 4: Simplify right side
    85,599x = 33,993,771,876
  5. Step 5: Solve for x
    x = 33,993,771,876/85,599
  6. Step 6: Final answer
    x = 397,128.14

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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.