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Finding the Third Proportional to 85,851 and 184,158

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Solution

The third proportional to 85,851 and 184,158 is: 395,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851 : 184,158 = 184,158 : x
  2. Step 2: Convert to fraction form
    85,851/184,158 = 184,158/x
  3. Step 3: Cross multiply
    85,851x = 184,158 × 184,158
  4. Step 4: Simplify right side
    85,851x = 33,914,168,964
  5. Step 5: Solve for x
    x = 33,914,168,964/85,851
  6. Step 6: Final answer
    x = 395,035.22

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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.