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Finding the Third Proportional to 139,286 and 212,194

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Solution

The third proportional to 139,286 and 212,194 is: 323,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,286 : 212,194 = 212,194 : x
  2. Step 2: Convert to fraction form
    139,286/212,194 = 212,194/x
  3. Step 3: Cross multiply
    139,286x = 212,194 × 212,194
  4. Step 4: Simplify right side
    139,286x = 45,026,293,636
  5. Step 5: Solve for x
    x = 45,026,293,636/139,286
  6. Step 6: Final answer
    x = 323,265.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.