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Finding the Third Proportional to 95,993 and 142,099

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Solution

The third proportional to 95,993 and 142,099 is: 210,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,993 : 142,099 = 142,099 : x
  2. Step 2: Convert to fraction form
    95,993/142,099 = 142,099/x
  3. Step 3: Cross multiply
    95,993x = 142,099 × 142,099
  4. Step 4: Simplify right side
    95,993x = 20,192,125,801
  5. Step 5: Solve for x
    x = 20,192,125,801/95,993
  6. Step 6: Final answer
    x = 210,349.98

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