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Finding the Third Proportional to 49,923 and 108,153

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Solution

The third proportional to 49,923 and 108,153 is: 234,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,923 : 108,153 = 108,153 : x
  2. Step 2: Convert to fraction form
    49,923/108,153 = 108,153/x
  3. Step 3: Cross multiply
    49,923x = 108,153 × 108,153
  4. Step 4: Simplify right side
    49,923x = 11,697,071,409
  5. Step 5: Solve for x
    x = 11,697,071,409/49,923
  6. Step 6: Final answer
    x = 234,302.25

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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.