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Finding the Third Proportional to 110,851.50 and 171,996

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Solution

The third proportional to 110,851.50 and 171,996 is: 266,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,851.50 : 171,996 = 171,996 : x
  2. Step 2: Convert to fraction form
    110,851.50/171,996 = 171,996/x
  3. Step 3: Cross multiply
    110,851.50x = 171,996 × 171,996
  4. Step 4: Simplify right side
    110,851.50x = 29,582,624,016
  5. Step 5: Solve for x
    x = 29,582,624,016/110,851.50
  6. Step 6: Final answer
    x = 266,867.15

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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.