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Finding the Third Proportional to 54,848 and 82,676

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Solution

The third proportional to 54,848 and 82,676 is: 124,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,848 : 82,676 = 82,676 : x
  2. Step 2: Convert to fraction form
    54,848/82,676 = 82,676/x
  3. Step 3: Cross multiply
    54,848x = 82,676 × 82,676
  4. Step 4: Simplify right side
    54,848x = 6,835,320,976
  5. Step 5: Solve for x
    x = 6,835,320,976/54,848
  6. Step 6: Final answer
    x = 124,622.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.