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Finding the Third Proportional to 66,994 and 95,225

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Solution

The third proportional to 66,994 and 95,225 is: 135,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,994 : 95,225 = 95,225 : x
  2. Step 2: Convert to fraction form
    66,994/95,225 = 95,225/x
  3. Step 3: Cross multiply
    66,994x = 95,225 × 95,225
  4. Step 4: Simplify right side
    66,994x = 9,067,800,625
  5. Step 5: Solve for x
    x = 9,067,800,625/66,994
  6. Step 6: Final answer
    x = 135,352.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.