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Finding the Third Proportional to 129,231 and 188,834

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Solution

The third proportional to 129,231 and 188,834 is: 275,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,231 : 188,834 = 188,834 : x
  2. Step 2: Convert to fraction form
    129,231/188,834 = 188,834/x
  3. Step 3: Cross multiply
    129,231x = 188,834 × 188,834
  4. Step 4: Simplify right side
    129,231x = 35,658,279,556
  5. Step 5: Solve for x
    x = 35,658,279,556/129,231
  6. Step 6: Final answer
    x = 275,926.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.