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Finding the Third Proportional to 110,666 and 166,080

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Solution

The third proportional to 110,666 and 166,080 is: 249,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,666 : 166,080 = 166,080 : x
  2. Step 2: Convert to fraction form
    110,666/166,080 = 166,080/x
  3. Step 3: Cross multiply
    110,666x = 166,080 × 166,080
  4. Step 4: Simplify right side
    110,666x = 27,582,566,400
  5. Step 5: Solve for x
    x = 27,582,566,400/110,666
  6. Step 6: Final answer
    x = 249,241.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.