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Finding the Third Proportional to 45,744.75 and 89,201.25

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Solution

The third proportional to 45,744.75 and 89,201.25 is: 173,940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,744.75 : 89,201.25 = 89,201.25 : x
  2. Step 2: Convert to fraction form
    45,744.75/89,201.25 = 89,201.25/x
  3. Step 3: Cross multiply
    45,744.75x = 89,201.25 × 89,201.25
  4. Step 4: Simplify right side
    45,744.75x = 7,956,863,001.56
  5. Step 5: Solve for x
    x = 7,956,863,001.56/45,744.75
  6. Step 6: Final answer
    x = 173,940.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.