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Finding the Third Proportional to 95,991 and 142,096

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Solution

The third proportional to 95,991 and 142,096 is: 210,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,991 : 142,096 = 142,096 : x
  2. Step 2: Convert to fraction form
    95,991/142,096 = 142,096/x
  3. Step 3: Cross multiply
    95,991x = 142,096 × 142,096
  4. Step 4: Simplify right side
    95,991x = 20,191,273,216
  5. Step 5: Solve for x
    x = 20,191,273,216/95,991
  6. Step 6: Final answer
    x = 210,345.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.