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Finding the Third Proportional to 84,078 and 126,213.19

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Solution

The third proportional to 84,078 and 126,213.19 is: 189,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078 : 126,213.19 = 126,213.19 : x
  2. Step 2: Convert to fraction form
    84,078/126,213.19 = 126,213.19/x
  3. Step 3: Cross multiply
    84,078x = 126,213.19 × 126,213.19
  4. Step 4: Simplify right side
    84,078x = 15,929,768,698.91
  5. Step 5: Solve for x
    x = 15,929,768,698.91/84,078
  6. Step 6: Final answer
    x = 189,464.17

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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.