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Finding the Third Proportional to 84,194 and 185,956

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Solution

The third proportional to 84,194 and 185,956 is: 410,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,194 : 185,956 = 185,956 : x
  2. Step 2: Convert to fraction form
    84,194/185,956 = 185,956/x
  3. Step 3: Cross multiply
    84,194x = 185,956 × 185,956
  4. Step 4: Simplify right side
    84,194x = 34,579,633,936
  5. Step 5: Solve for x
    x = 34,579,633,936/84,194
  6. Step 6: Final answer
    x = 410,713.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.