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Finding the Third Proportional to 95,945 and 134,205

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Solution

The third proportional to 95,945 and 134,205 is: 187,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,945 : 134,205 = 134,205 : x
  2. Step 2: Convert to fraction form
    95,945/134,205 = 134,205/x
  3. Step 3: Cross multiply
    95,945x = 134,205 × 134,205
  4. Step 4: Simplify right side
    95,945x = 18,010,982,025
  5. Step 5: Solve for x
    x = 18,010,982,025/95,945
  6. Step 6: Final answer
    x = 187,721.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.