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Finding the Third Proportional to 110,618.50 and 171,571

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Solution

The third proportional to 110,618.50 and 171,571 is: 266,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,618.50 : 171,571 = 171,571 : x
  2. Step 2: Convert to fraction form
    110,618.50/171,571 = 171,571/x
  3. Step 3: Cross multiply
    110,618.50x = 171,571 × 171,571
  4. Step 4: Simplify right side
    110,618.50x = 29,436,608,041
  5. Step 5: Solve for x
    x = 29,436,608,041/110,618.50
  6. Step 6: Final answer
    x = 266,109.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.