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Finding the Third Proportional to 136,059 and 211,194

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Solution

The third proportional to 136,059 and 211,194 is: 327,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,059 : 211,194 = 211,194 : x
  2. Step 2: Convert to fraction form
    136,059/211,194 = 211,194/x
  3. Step 3: Cross multiply
    136,059x = 211,194 × 211,194
  4. Step 4: Simplify right side
    136,059x = 44,602,905,636
  5. Step 5: Solve for x
    x = 44,602,905,636/136,059
  6. Step 6: Final answer
    x = 327,820.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.