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Finding the Third Proportional to 71,226.50 and 110,724.75

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Solution

The third proportional to 71,226.50 and 110,724.75 is: 172,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,226.50 : 110,724.75 = 110,724.75 : x
  2. Step 2: Convert to fraction form
    71,226.50/110,724.75 = 110,724.75/x
  3. Step 3: Cross multiply
    71,226.50x = 110,724.75 × 110,724.75
  4. Step 4: Simplify right side
    71,226.50x = 12,259,970,262.56
  5. Step 5: Solve for x
    x = 12,259,970,262.56/71,226.50
  6. Step 6: Final answer
    x = 172,126.53

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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.