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Finding the Third Proportional to 46,872 and 104,112

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Solution

The third proportional to 46,872 and 104,112 is: 231,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,872 : 104,112 = 104,112 : x
  2. Step 2: Convert to fraction form
    46,872/104,112 = 104,112/x
  3. Step 3: Cross multiply
    46,872x = 104,112 × 104,112
  4. Step 4: Simplify right side
    46,872x = 10,839,308,544
  5. Step 5: Solve for x
    x = 10,839,308,544/46,872
  6. Step 6: Final answer
    x = 231,253.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.