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Finding the Third Proportional to 64,173.38 and 85,164.75

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Solution

The third proportional to 64,173.38 and 85,164.75 is: 113,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,173.38 : 85,164.75 = 85,164.75 : x
  2. Step 2: Convert to fraction form
    64,173.38/85,164.75 = 85,164.75/x
  3. Step 3: Cross multiply
    64,173.38x = 85,164.75 × 85,164.75
  4. Step 4: Simplify right side
    64,173.38x = 7,253,034,642.56
  5. Step 5: Solve for x
    x = 7,253,034,642.56/64,173.38
  6. Step 6: Final answer
    x = 113,022.49

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.