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Finding the Third Proportional to 57,191 and 82,505

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Solution

The third proportional to 57,191 and 82,505 is: 119,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,191 : 82,505 = 82,505 : x
  2. Step 2: Convert to fraction form
    57,191/82,505 = 82,505/x
  3. Step 3: Cross multiply
    57,191x = 82,505 × 82,505
  4. Step 4: Simplify right side
    57,191x = 6,807,075,025
  5. Step 5: Solve for x
    x = 6,807,075,025/57,191
  6. Step 6: Final answer
    x = 119,023.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.