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Finding the Third Proportional to 36,151.31 and 74,064.38

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Solution

The third proportional to 36,151.31 and 74,064.38 is: 151,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,151.31 : 74,064.38 = 74,064.38 : x
  2. Step 2: Convert to fraction form
    36,151.31/74,064.38 = 74,064.38/x
  3. Step 3: Cross multiply
    36,151.31x = 74,064.38 × 74,064.38
  4. Step 4: Simplify right side
    36,151.31x = 5,485,531,644.14
  5. Step 5: Solve for x
    x = 5,485,531,644.14/36,151.31
  6. Step 6: Final answer
    x = 151,738.10

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.