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Finding the Third Proportional to 95,640 and 140,388

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Solution

The third proportional to 95,640 and 140,388 is: 206,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,640 : 140,388 = 140,388 : x
  2. Step 2: Convert to fraction form
    95,640/140,388 = 140,388/x
  3. Step 3: Cross multiply
    95,640x = 140,388 × 140,388
  4. Step 4: Simplify right side
    95,640x = 19,708,790,544
  5. Step 5: Solve for x
    x = 19,708,790,544/95,640
  6. Step 6: Final answer
    x = 206,072.67

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