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Finding the Third Proportional to 140,942 and 193,269

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Solution

The third proportional to 140,942 and 193,269 is: 265,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,942 : 193,269 = 193,269 : x
  2. Step 2: Convert to fraction form
    140,942/193,269 = 193,269/x
  3. Step 3: Cross multiply
    140,942x = 193,269 × 193,269
  4. Step 4: Simplify right side
    140,942x = 37,352,906,361
  5. Step 5: Solve for x
    x = 37,352,906,361/140,942
  6. Step 6: Final answer
    x = 265,023.25

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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.