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Finding the Third Proportional to 72,828 and 158,112

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Solution

The third proportional to 72,828 and 158,112 is: 343,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828 : 158,112 = 158,112 : x
  2. Step 2: Convert to fraction form
    72,828/158,112 = 158,112/x
  3. Step 3: Cross multiply
    72,828x = 158,112 × 158,112
  4. Step 4: Simplify right side
    72,828x = 24,999,404,544
  5. Step 5: Solve for x
    x = 24,999,404,544/72,828
  6. Step 6: Final answer
    x = 343,266.39

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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.