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Finding the Third Proportional to 34,054.31 and 74,239.31

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Solution

The third proportional to 34,054.31 and 74,239.31 is: 161,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054.31 : 74,239.31 = 74,239.31 : x
  2. Step 2: Convert to fraction form
    34,054.31/74,239.31 = 74,239.31/x
  3. Step 3: Cross multiply
    34,054.31x = 74,239.31 × 74,239.31
  4. Step 4: Simplify right side
    34,054.31x = 5,511,475,520.47
  5. Step 5: Solve for x
    x = 5,511,475,520.47/34,054.31
  6. Step 6: Final answer
    x = 161,843.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.