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Finding the Third Proportional to 51,124.50 and 106,947

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Solution

The third proportional to 51,124.50 and 106,947 is: 223,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,124.50 : 106,947 = 106,947 : x
  2. Step 2: Convert to fraction form
    51,124.50/106,947 = 106,947/x
  3. Step 3: Cross multiply
    51,124.50x = 106,947 × 106,947
  4. Step 4: Simplify right side
    51,124.50x = 11,437,660,809
  5. Step 5: Solve for x
    x = 11,437,660,809/51,124.50
  6. Step 6: Final answer
    x = 223,721.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.