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Finding the Third Proportional to 66,435 and 110,724.75

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Solution

The third proportional to 66,435 and 110,724.75 is: 184,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,435 : 110,724.75 = 110,724.75 : x
  2. Step 2: Convert to fraction form
    66,435/110,724.75 = 110,724.75/x
  3. Step 3: Cross multiply
    66,435x = 110,724.75 × 110,724.75
  4. Step 4: Simplify right side
    66,435x = 12,259,970,262.56
  5. Step 5: Solve for x
    x = 12,259,970,262.56/66,435
  6. Step 6: Final answer
    x = 184,540.83

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.