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Finding the Third Proportional to 72,956 and 158,695

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Solution

The third proportional to 72,956 and 158,695 is: 345,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,956 : 158,695 = 158,695 : x
  2. Step 2: Convert to fraction form
    72,956/158,695 = 158,695/x
  3. Step 3: Cross multiply
    72,956x = 158,695 × 158,695
  4. Step 4: Simplify right side
    72,956x = 25,184,103,025
  5. Step 5: Solve for x
    x = 25,184,103,025/72,956
  6. Step 6: Final answer
    x = 345,195.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.