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Finding the Third Proportional to 55,362 and 82,962

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Solution

The third proportional to 55,362 and 82,962 is: 124,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,362 : 82,962 = 82,962 : x
  2. Step 2: Convert to fraction form
    55,362/82,962 = 82,962/x
  3. Step 3: Cross multiply
    55,362x = 82,962 × 82,962
  4. Step 4: Simplify right side
    55,362x = 6,882,693,444
  5. Step 5: Solve for x
    x = 6,882,693,444/55,362
  6. Step 6: Final answer
    x = 124,321.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.