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Finding the Third Proportional to 74,865.94 and 162,375.75

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Solution

The third proportional to 74,865.94 and 162,375.75 is: 352,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,865.94 : 162,375.75 = 162,375.75 : x
  2. Step 2: Convert to fraction form
    74,865.94/162,375.75 = 162,375.75/x
  3. Step 3: Cross multiply
    74,865.94x = 162,375.75 × 162,375.75
  4. Step 4: Simplify right side
    74,865.94x = 26,365,884,188.06
  5. Step 5: Solve for x
    x = 26,365,884,188.06/74,865.94
  6. Step 6: Final answer
    x = 352,174.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.