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Finding the Third Proportional to 45,295.88 and 96,072.75

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Solution

The third proportional to 45,295.88 and 96,072.75 is: 203,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,295.88 : 96,072.75 = 96,072.75 : x
  2. Step 2: Convert to fraction form
    45,295.88/96,072.75 = 96,072.75/x
  3. Step 3: Cross multiply
    45,295.88x = 96,072.75 × 96,072.75
  4. Step 4: Simplify right side
    45,295.88x = 9,229,973,292.56
  5. Step 5: Solve for x
    x = 9,229,973,292.56/45,295.88
  6. Step 6: Final answer
    x = 203,770.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.