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Finding the Third Proportional to 74,913 and 160,943.25

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Solution

The third proportional to 74,913 and 160,943.25 is: 345,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913 : 160,943.25 = 160,943.25 : x
  2. Step 2: Convert to fraction form
    74,913/160,943.25 = 160,943.25/x
  3. Step 3: Cross multiply
    74,913x = 160,943.25 × 160,943.25
  4. Step 4: Simplify right side
    74,913x = 25,902,729,720.56
  5. Step 5: Solve for x
    x = 25,902,729,720.56/74,913
  6. Step 6: Final answer
    x = 345,770.82

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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.