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Finding the Third Proportional to 75,939 and 166,504

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Solution

The third proportional to 75,939 and 166,504 is: 365,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,939 : 166,504 = 166,504 : x
  2. Step 2: Convert to fraction form
    75,939/166,504 = 166,504/x
  3. Step 3: Cross multiply
    75,939x = 166,504 × 166,504
  4. Step 4: Simplify right side
    75,939x = 27,723,582,016
  5. Step 5: Solve for x
    x = 27,723,582,016/75,939
  6. Step 6: Final answer
    x = 365,077.00

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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.