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Finding the Third Proportional to 34,237.69 and 73,512.56

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Solution

The third proportional to 34,237.69 and 73,512.56 is: 157,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,237.69 : 73,512.56 = 73,512.56 : x
  2. Step 2: Convert to fraction form
    34,237.69/73,512.56 = 73,512.56/x
  3. Step 3: Cross multiply
    34,237.69x = 73,512.56 × 73,512.56
  4. Step 4: Simplify right side
    34,237.69x = 5,404,096,845.32
  5. Step 5: Solve for x
    x = 5,404,096,845.32/34,237.69
  6. Step 6: Final answer
    x = 157,840.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.