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Finding the Third Proportional to 51,840.50 and 111,951

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Solution

The third proportional to 51,840.50 and 111,951 is: 241,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.50 : 111,951 = 111,951 : x
  2. Step 2: Convert to fraction form
    51,840.50/111,951 = 111,951/x
  3. Step 3: Cross multiply
    51,840.50x = 111,951 × 111,951
  4. Step 4: Simplify right side
    51,840.50x = 12,533,026,401
  5. Step 5: Solve for x
    x = 12,533,026,401/51,840.50
  6. Step 6: Final answer
    x = 241,761.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.