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Finding the Third Proportional to 51,040.97 and 112,271.06

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Solution

The third proportional to 51,040.97 and 112,271.06 is: 246,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,040.97 : 112,271.06 = 112,271.06 : x
  2. Step 2: Convert to fraction form
    51,040.97/112,271.06 = 112,271.06/x
  3. Step 3: Cross multiply
    51,040.97x = 112,271.06 × 112,271.06
  4. Step 4: Simplify right side
    51,040.97x = 12,604,791,474.88
  5. Step 5: Solve for x
    x = 12,604,791,474.88/51,040.97
  6. Step 6: Final answer
    x = 246,954.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.