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Finding the Third Proportional to 84,942 and 184,652

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Solution

The third proportional to 84,942 and 184,652 is: 401,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,942 : 184,652 = 184,652 : x
  2. Step 2: Convert to fraction form
    84,942/184,652 = 184,652/x
  3. Step 3: Cross multiply
    84,942x = 184,652 × 184,652
  4. Step 4: Simplify right side
    84,942x = 34,096,361,104
  5. Step 5: Solve for x
    x = 34,096,361,104/84,942
  6. Step 6: Final answer
    x = 401,407.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.