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Finding the Third Proportional to 49,868 and 109,120

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Solution

The third proportional to 49,868 and 109,120 is: 238,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,868 : 109,120 = 109,120 : x
  2. Step 2: Convert to fraction form
    49,868/109,120 = 109,120/x
  3. Step 3: Cross multiply
    49,868x = 109,120 × 109,120
  4. Step 4: Simplify right side
    49,868x = 11,907,174,400
  5. Step 5: Solve for x
    x = 11,907,174,400/49,868
  6. Step 6: Final answer
    x = 238,773.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.