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Finding the Third Proportional to 95,676 and 140,590

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Solution

The third proportional to 95,676 and 140,590 is: 206,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,676 : 140,590 = 140,590 : x
  2. Step 2: Convert to fraction form
    95,676/140,590 = 140,590/x
  3. Step 3: Cross multiply
    95,676x = 140,590 × 140,590
  4. Step 4: Simplify right side
    95,676x = 19,765,548,100
  5. Step 5: Solve for x
    x = 19,765,548,100/95,676
  6. Step 6: Final answer
    x = 206,588.36

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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.