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Finding the Third Proportional to 107,923 and 163,390

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Solution

The third proportional to 107,923 and 163,390 is: 247,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,923 : 163,390 = 163,390 : x
  2. Step 2: Convert to fraction form
    107,923/163,390 = 163,390/x
  3. Step 3: Cross multiply
    107,923x = 163,390 × 163,390
  4. Step 4: Simplify right side
    107,923x = 26,696,292,100
  5. Step 5: Solve for x
    x = 26,696,292,100/107,923
  6. Step 6: Final answer
    x = 247,364.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.