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Finding the Third Proportional to 110,147 and 171,713

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Solution

The third proportional to 110,147 and 171,713 is: 267,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,147 : 171,713 = 171,713 : x
  2. Step 2: Convert to fraction form
    110,147/171,713 = 171,713/x
  3. Step 3: Cross multiply
    110,147x = 171,713 × 171,713
  4. Step 4: Simplify right side
    110,147x = 29,485,354,369
  5. Step 5: Solve for x
    x = 29,485,354,369/110,147
  6. Step 6: Final answer
    x = 267,690.94

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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.