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Finding the Third Proportional to 49,764 and 106,932

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Solution

The third proportional to 49,764 and 106,932 is: 229,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764 : 106,932 = 106,932 : x
  2. Step 2: Convert to fraction form
    49,764/106,932 = 106,932/x
  3. Step 3: Cross multiply
    49,764x = 106,932 × 106,932
  4. Step 4: Simplify right side
    49,764x = 11,434,452,624
  5. Step 5: Solve for x
    x = 11,434,452,624/49,764
  6. Step 6: Final answer
    x = 229,773.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.