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Finding the Third Proportional to 75,947.25 and 166,191

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Solution

The third proportional to 75,947.25 and 166,191 is: 363,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,947.25 : 166,191 = 166,191 : x
  2. Step 2: Convert to fraction form
    75,947.25/166,191 = 166,191/x
  3. Step 3: Cross multiply
    75,947.25x = 166,191 × 166,191
  4. Step 4: Simplify right side
    75,947.25x = 27,619,448,481
  5. Step 5: Solve for x
    x = 27,619,448,481/75,947.25
  6. Step 6: Final answer
    x = 363,666.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.