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Finding the Third Proportional to 75,986 and 166,660

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Solution

The third proportional to 75,986 and 166,660 is: 365,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,986 : 166,660 = 166,660 : x
  2. Step 2: Convert to fraction form
    75,986/166,660 = 166,660/x
  3. Step 3: Cross multiply
    75,986x = 166,660 × 166,660
  4. Step 4: Simplify right side
    75,986x = 27,775,555,600
  5. Step 5: Solve for x
    x = 27,775,555,600/75,986
  6. Step 6: Final answer
    x = 365,535.17

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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.