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Finding the Third Proportional to 74,737.69 and 161,215.31

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Solution

The third proportional to 74,737.69 and 161,215.31 is: 347,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,737.69 : 161,215.31 = 161,215.31 : x
  2. Step 2: Convert to fraction form
    74,737.69/161,215.31 = 161,215.31/x
  3. Step 3: Cross multiply
    74,737.69x = 161,215.31 × 161,215.31
  4. Step 4: Simplify right side
    74,737.69x = 25,990,376,984.47
  5. Step 5: Solve for x
    x = 25,990,376,984.47/74,737.69
  6. Step 6: Final answer
    x = 347,754.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.