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Finding the Third Proportional to 38,194 and 83,920

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Solution

The third proportional to 38,194 and 83,920 is: 184,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194 : 83,920 = 83,920 : x
  2. Step 2: Convert to fraction form
    38,194/83,920 = 83,920/x
  3. Step 3: Cross multiply
    38,194x = 83,920 × 83,920
  4. Step 4: Simplify right side
    38,194x = 7,042,566,400
  5. Step 5: Solve for x
    x = 7,042,566,400/38,194
  6. Step 6: Final answer
    x = 184,389.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.