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Finding the Third Proportional to 40,194 and 87,305

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Solution

The third proportional to 40,194 and 87,305 is: 189,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,194 : 87,305 = 87,305 : x
  2. Step 2: Convert to fraction form
    40,194/87,305 = 87,305/x
  3. Step 3: Cross multiply
    40,194x = 87,305 × 87,305
  4. Step 4: Simplify right side
    40,194x = 7,622,163,025
  5. Step 5: Solve for x
    x = 7,622,163,025/40,194
  6. Step 6: Final answer
    x = 189,634.35

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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.