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Finding the Third Proportional to 110,749.50 and 171,812

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Solution

The third proportional to 110,749.50 and 171,812 is: 266,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,749.50 : 171,812 = 171,812 : x
  2. Step 2: Convert to fraction form
    110,749.50/171,812 = 171,812/x
  3. Step 3: Cross multiply
    110,749.50x = 171,812 × 171,812
  4. Step 4: Simplify right side
    110,749.50x = 29,519,363,344
  5. Step 5: Solve for x
    x = 29,519,363,344/110,749.50
  6. Step 6: Final answer
    x = 266,541.73

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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.