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Finding the Third Proportional to 140,953 and 193,285

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Solution

The third proportional to 140,953 and 193,285 is: 265,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,953 : 193,285 = 193,285 : x
  2. Step 2: Convert to fraction form
    140,953/193,285 = 193,285/x
  3. Step 3: Cross multiply
    140,953x = 193,285 × 193,285
  4. Step 4: Simplify right side
    140,953x = 37,359,091,225
  5. Step 5: Solve for x
    x = 37,359,091,225/140,953
  6. Step 6: Final answer
    x = 265,046.44

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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.