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Finding the Third Proportional to 49,176 and 106,692

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Solution

The third proportional to 49,176 and 106,692 is: 231,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176 : 106,692 = 106,692 : x
  2. Step 2: Convert to fraction form
    49,176/106,692 = 106,692/x
  3. Step 3: Cross multiply
    49,176x = 106,692 × 106,692
  4. Step 4: Simplify right side
    49,176x = 11,383,182,864
  5. Step 5: Solve for x
    x = 11,383,182,864/49,176
  6. Step 6: Final answer
    x = 231,478.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.