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Finding the Third Proportional to 74,100 and 159,866

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Solution

The third proportional to 74,100 and 159,866 is: 344,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,100 : 159,866 = 159,866 : x
  2. Step 2: Convert to fraction form
    74,100/159,866 = 159,866/x
  3. Step 3: Cross multiply
    74,100x = 159,866 × 159,866
  4. Step 4: Simplify right side
    74,100x = 25,557,137,956
  5. Step 5: Solve for x
    x = 25,557,137,956/74,100
  6. Step 6: Final answer
    x = 344,900.65

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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.