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Finding the Third Proportional to 73,218 and 158,912

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Solution

The third proportional to 73,218 and 158,912 is: 344,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,218 : 158,912 = 158,912 : x
  2. Step 2: Convert to fraction form
    73,218/158,912 = 158,912/x
  3. Step 3: Cross multiply
    73,218x = 158,912 × 158,912
  4. Step 4: Simplify right side
    73,218x = 25,253,023,744
  5. Step 5: Solve for x
    x = 25,253,023,744/73,218
  6. Step 6: Final answer
    x = 344,901.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.