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Finding the Third Proportional to 75,891 and 166,544.50

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Solution

The third proportional to 75,891 and 166,544.50 is: 365,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891 : 166,544.50 = 166,544.50 : x
  2. Step 2: Convert to fraction form
    75,891/166,544.50 = 166,544.50/x
  3. Step 3: Cross multiply
    75,891x = 166,544.50 × 166,544.50
  4. Step 4: Simplify right side
    75,891x = 27,737,070,480.25
  5. Step 5: Solve for x
    x = 27,737,070,480.25/75,891
  6. Step 6: Final answer
    x = 365,485.64

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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.