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Finding the Third Proportional to 95,974.50 and 150,213

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Solution

The third proportional to 95,974.50 and 150,213 is: 235,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,974.50 : 150,213 = 150,213 : x
  2. Step 2: Convert to fraction form
    95,974.50/150,213 = 150,213/x
  3. Step 3: Cross multiply
    95,974.50x = 150,213 × 150,213
  4. Step 4: Simplify right side
    95,974.50x = 22,563,945,369
  5. Step 5: Solve for x
    x = 22,563,945,369/95,974.50
  6. Step 6: Final answer
    x = 235,103.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.