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Finding the Third Proportional to 95,339 and 140,088

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Solution

The third proportional to 95,339 and 140,088 is: 205,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,339 : 140,088 = 140,088 : x
  2. Step 2: Convert to fraction form
    95,339/140,088 = 140,088/x
  3. Step 3: Cross multiply
    95,339x = 140,088 × 140,088
  4. Step 4: Simplify right side
    95,339x = 19,624,647,744
  5. Step 5: Solve for x
    x = 19,624,647,744/95,339
  6. Step 6: Final answer
    x = 205,840.71

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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.