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Finding the Third Proportional to 49,176 and 106,678

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Solution

The third proportional to 49,176 and 106,678 is: 231,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176 : 106,678 = 106,678 : x
  2. Step 2: Convert to fraction form
    49,176/106,678 = 106,678/x
  3. Step 3: Cross multiply
    49,176x = 106,678 × 106,678
  4. Step 4: Simplify right side
    49,176x = 11,380,195,684
  5. Step 5: Solve for x
    x = 11,380,195,684/49,176
  6. Step 6: Final answer
    x = 231,417.68

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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.