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Finding the Third Proportional to 45,731 and 65,194

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Solution

The third proportional to 45,731 and 65,194 is: 92,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,731 : 65,194 = 65,194 : x
  2. Step 2: Convert to fraction form
    45,731/65,194 = 65,194/x
  3. Step 3: Cross multiply
    45,731x = 65,194 × 65,194
  4. Step 4: Simplify right side
    45,731x = 4,250,257,636
  5. Step 5: Solve for x
    x = 4,250,257,636/45,731
  6. Step 6: Final answer
    x = 92,940.40

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.