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Finding the Third Proportional to 95,266 and 140,145

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Solution

The third proportional to 95,266 and 140,145 is: 206,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,266 : 140,145 = 140,145 : x
  2. Step 2: Convert to fraction form
    95,266/140,145 = 140,145/x
  3. Step 3: Cross multiply
    95,266x = 140,145 × 140,145
  4. Step 4: Simplify right side
    95,266x = 19,640,621,025
  5. Step 5: Solve for x
    x = 19,640,621,025/95,266
  6. Step 6: Final answer
    x = 206,166.11

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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.