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Finding the Third Proportional to 45,124 and 93,112

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Solution

The third proportional to 45,124 and 93,112 is: 192,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,124 : 93,112 = 93,112 : x
  2. Step 2: Convert to fraction form
    45,124/93,112 = 93,112/x
  3. Step 3: Cross multiply
    45,124x = 93,112 × 93,112
  4. Step 4: Simplify right side
    45,124x = 8,669,844,544
  5. Step 5: Solve for x
    x = 8,669,844,544/45,124
  6. Step 6: Final answer
    x = 192,133.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.