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Finding the Third Proportional to 84,876 and 184,970

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Solution

The third proportional to 84,876 and 184,970 is: 403,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,876 : 184,970 = 184,970 : x
  2. Step 2: Convert to fraction form
    84,876/184,970 = 184,970/x
  3. Step 3: Cross multiply
    84,876x = 184,970 × 184,970
  4. Step 4: Simplify right side
    84,876x = 34,213,900,900
  5. Step 5: Solve for x
    x = 34,213,900,900/84,876
  6. Step 6: Final answer
    x = 403,104.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.