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Finding the Third Proportional to 84,214.69 and 126,311.91

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Solution

The third proportional to 84,214.69 and 126,311.91 is: 189,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,214.69 : 126,311.91 = 126,311.91 : x
  2. Step 2: Convert to fraction form
    84,214.69/126,311.91 = 126,311.91/x
  3. Step 3: Cross multiply
    84,214.69x = 126,311.91 × 126,311.91
  4. Step 4: Simplify right side
    84,214.69x = 15,954,697,660.51
  5. Step 5: Solve for x
    x = 15,954,697,660.51/84,214.69
  6. Step 6: Final answer
    x = 189,452.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.