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Finding the Third Proportional to 45,555.50 and 100,079

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Solution

The third proportional to 45,555.50 and 100,079 is: 219,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,555.50 : 100,079 = 100,079 : x
  2. Step 2: Convert to fraction form
    45,555.50/100,079 = 100,079/x
  3. Step 3: Cross multiply
    45,555.50x = 100,079 × 100,079
  4. Step 4: Simplify right side
    45,555.50x = 10,015,806,241
  5. Step 5: Solve for x
    x = 10,015,806,241/45,555.50
  6. Step 6: Final answer
    x = 219,859.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.