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Finding the Third Proportional to 110,052 and 171,666

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Solution

The third proportional to 110,052 and 171,666 is: 267,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,052 : 171,666 = 171,666 : x
  2. Step 2: Convert to fraction form
    110,052/171,666 = 171,666/x
  3. Step 3: Cross multiply
    110,052x = 171,666 × 171,666
  4. Step 4: Simplify right side
    110,052x = 29,469,215,556
  5. Step 5: Solve for x
    x = 29,469,215,556/110,052
  6. Step 6: Final answer
    x = 267,775.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.