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Finding the Third Proportional to 140,954 and 193,286

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Solution

The third proportional to 140,954 and 193,286 is: 265,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,954 : 193,286 = 193,286 : x
  2. Step 2: Convert to fraction form
    140,954/193,286 = 193,286/x
  3. Step 3: Cross multiply
    140,954x = 193,286 × 193,286
  4. Step 4: Simplify right side
    140,954x = 37,359,477,796
  5. Step 5: Solve for x
    x = 37,359,477,796/140,954
  6. Step 6: Final answer
    x = 265,047.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.