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Finding the Third Proportional to 95,364 and 140,274

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Solution

The third proportional to 95,364 and 140,274 is: 206,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,364 : 140,274 = 140,274 : x
  2. Step 2: Convert to fraction form
    95,364/140,274 = 140,274/x
  3. Step 3: Cross multiply
    95,364x = 140,274 × 140,274
  4. Step 4: Simplify right side
    95,364x = 19,676,795,076
  5. Step 5: Solve for x
    x = 19,676,795,076/95,364
  6. Step 6: Final answer
    x = 206,333.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.