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Finding the Third Proportional to 100,519.73 and 155,706.05

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Solution

The third proportional to 100,519.73 and 155,706.05 is: 241,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,519.73 : 155,706.05 = 155,706.05 : x
  2. Step 2: Convert to fraction form
    100,519.73/155,706.05 = 155,706.05/x
  3. Step 3: Cross multiply
    100,519.73x = 155,706.05 × 155,706.05
  4. Step 4: Simplify right side
    100,519.73x = 24,244,373,033.44
  5. Step 5: Solve for x
    x = 24,244,373,033.44/100,519.73
  6. Step 6: Final answer
    x = 241,190.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.