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Finding the Third Proportional to 112,959 and 150,595

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Solution

The third proportional to 112,959 and 150,595 is: 200,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,959 : 150,595 = 150,595 : x
  2. Step 2: Convert to fraction form
    112,959/150,595 = 150,595/x
  3. Step 3: Cross multiply
    112,959x = 150,595 × 150,595
  4. Step 4: Simplify right side
    112,959x = 22,678,854,025
  5. Step 5: Solve for x
    x = 22,678,854,025/112,959
  6. Step 6: Final answer
    x = 200,770.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.