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Finding the Third Proportional to 27,106 and 43,168

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Solution

The third proportional to 27,106 and 43,168 is: 68,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106 : 43,168 = 43,168 : x
  2. Step 2: Convert to fraction form
    27,106/43,168 = 43,168/x
  3. Step 3: Cross multiply
    27,106x = 43,168 × 43,168
  4. Step 4: Simplify right side
    27,106x = 1,863,476,224
  5. Step 5: Solve for x
    x = 1,863,476,224/27,106
  6. Step 6: Final answer
    x = 68,747.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.