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Finding the Third Proportional to 84,782 and 184,144

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Solution

The third proportional to 84,782 and 184,144 is: 399,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,782 : 184,144 = 184,144 : x
  2. Step 2: Convert to fraction form
    84,782/184,144 = 184,144/x
  3. Step 3: Cross multiply
    84,782x = 184,144 × 184,144
  4. Step 4: Simplify right side
    84,782x = 33,909,012,736
  5. Step 5: Solve for x
    x = 33,909,012,736/84,782
  6. Step 6: Final answer
    x = 399,955.33

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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.