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Finding the Third Proportional to 55,927.97 and 82,240.31

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Solution

The third proportional to 55,927.97 and 82,240.31 is: 120,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,927.97 : 82,240.31 = 82,240.31 : x
  2. Step 2: Convert to fraction form
    55,927.97/82,240.31 = 82,240.31/x
  3. Step 3: Cross multiply
    55,927.97x = 82,240.31 × 82,240.31
  4. Step 4: Simplify right side
    55,927.97x = 6,763,469,000.10
  5. Step 5: Solve for x
    x = 6,763,469,000.10/55,927.97
  6. Step 6: Final answer
    x = 120,931.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.