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Finding the Third Proportional to 95,309 and 140,190

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Solution

The third proportional to 95,309 and 140,190 is: 206,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,309 : 140,190 = 140,190 : x
  2. Step 2: Convert to fraction form
    95,309/140,190 = 140,190/x
  3. Step 3: Cross multiply
    95,309x = 140,190 × 140,190
  4. Step 4: Simplify right side
    95,309x = 19,653,236,100
  5. Step 5: Solve for x
    x = 19,653,236,100/95,309
  6. Step 6: Final answer
    x = 206,205.46

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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.