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Finding the Third Proportional to 110,020 and 171,600

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Solution

The third proportional to 110,020 and 171,600 is: 267,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,020 : 171,600 = 171,600 : x
  2. Step 2: Convert to fraction form
    110,020/171,600 = 171,600/x
  3. Step 3: Cross multiply
    110,020x = 171,600 × 171,600
  4. Step 4: Simplify right side
    110,020x = 29,446,560,000
  5. Step 5: Solve for x
    x = 29,446,560,000/110,020
  6. Step 6: Final answer
    x = 267,647.34

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