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Finding the Third Proportional to 85,589.44 and 125,214.75

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Solution

The third proportional to 85,589.44 and 125,214.75 is: 183,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,589.44 : 125,214.75 = 125,214.75 : x
  2. Step 2: Convert to fraction form
    85,589.44/125,214.75 = 125,214.75/x
  3. Step 3: Cross multiply
    85,589.44x = 125,214.75 × 125,214.75
  4. Step 4: Simplify right side
    85,589.44x = 15,678,733,617.56
  5. Step 5: Solve for x
    x = 15,678,733,617.56/85,589.44
  6. Step 6: Final answer
    x = 183,185.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.