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Finding the Third Proportional to 49,830 and 106,120

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Solution

The third proportional to 49,830 and 106,120 is: 225,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,830 : 106,120 = 106,120 : x
  2. Step 2: Convert to fraction form
    49,830/106,120 = 106,120/x
  3. Step 3: Cross multiply
    49,830x = 106,120 × 106,120
  4. Step 4: Simplify right side
    49,830x = 11,261,454,400
  5. Step 5: Solve for x
    x = 11,261,454,400/49,830
  6. Step 6: Final answer
    x = 225,997.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.