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Finding the Third Proportional to 72,616 and 159,551

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Solution

The third proportional to 72,616 and 159,551 is: 350,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,616 : 159,551 = 159,551 : x
  2. Step 2: Convert to fraction form
    72,616/159,551 = 159,551/x
  3. Step 3: Cross multiply
    72,616x = 159,551 × 159,551
  4. Step 4: Simplify right side
    72,616x = 25,456,521,601
  5. Step 5: Solve for x
    x = 25,456,521,601/72,616
  6. Step 6: Final answer
    x = 350,563.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.