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Finding the Third Proportional to 75,762 and 166,563

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Solution

The third proportional to 75,762 and 166,563 is: 366,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762 : 166,563 = 166,563 : x
  2. Step 2: Convert to fraction form
    75,762/166,563 = 166,563/x
  3. Step 3: Cross multiply
    75,762x = 166,563 × 166,563
  4. Step 4: Simplify right side
    75,762x = 27,743,232,969
  5. Step 5: Solve for x
    x = 27,743,232,969/75,762
  6. Step 6: Final answer
    x = 366,189.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.