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Finding the Third Proportional to 45,996.75 and 93,735.56

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Solution

The third proportional to 45,996.75 and 93,735.56 is: 191,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,996.75 : 93,735.56 = 93,735.56 : x
  2. Step 2: Convert to fraction form
    45,996.75/93,735.56 = 93,735.56/x
  3. Step 3: Cross multiply
    45,996.75x = 93,735.56 × 93,735.56
  4. Step 4: Simplify right side
    45,996.75x = 8,786,355,677.19
  5. Step 5: Solve for x
    x = 8,786,355,677.19/45,996.75
  6. Step 6: Final answer
    x = 191,021.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.