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Finding the Third Proportional to 79,858 and 111,035

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Solution

The third proportional to 79,858 and 111,035 is: 154,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,858 : 111,035 = 111,035 : x
  2. Step 2: Convert to fraction form
    79,858/111,035 = 111,035/x
  3. Step 3: Cross multiply
    79,858x = 111,035 × 111,035
  4. Step 4: Simplify right side
    79,858x = 12,328,771,225
  5. Step 5: Solve for x
    x = 12,328,771,225/79,858
  6. Step 6: Final answer
    x = 154,383.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.