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Finding the Third Proportional to 43,640 and 93,112

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Solution

The third proportional to 43,640 and 93,112 is: 198,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,640 : 93,112 = 93,112 : x
  2. Step 2: Convert to fraction form
    43,640/93,112 = 93,112/x
  3. Step 3: Cross multiply
    43,640x = 93,112 × 93,112
  4. Step 4: Simplify right side
    43,640x = 8,669,844,544
  5. Step 5: Solve for x
    x = 8,669,844,544/43,640
  6. Step 6: Final answer
    x = 198,667.38

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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.