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Finding the Third Proportional to 95,286 and 140,013

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Solution

The third proportional to 95,286 and 140,013 is: 205,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,286 : 140,013 = 140,013 : x
  2. Step 2: Convert to fraction form
    95,286/140,013 = 140,013/x
  3. Step 3: Cross multiply
    95,286x = 140,013 × 140,013
  4. Step 4: Simplify right side
    95,286x = 19,603,640,169
  5. Step 5: Solve for x
    x = 19,603,640,169/95,286
  6. Step 6: Final answer
    x = 205,734.74

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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.