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Finding the Third Proportional to 51,061.50 and 110,840.50

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Solution

The third proportional to 51,061.50 and 110,840.50 is: 240,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,061.50 : 110,840.50 = 110,840.50 : x
  2. Step 2: Convert to fraction form
    51,061.50/110,840.50 = 110,840.50/x
  3. Step 3: Cross multiply
    51,061.50x = 110,840.50 × 110,840.50
  4. Step 4: Simplify right side
    51,061.50x = 12,285,616,440.25
  5. Step 5: Solve for x
    x = 12,285,616,440.25/51,061.50
  6. Step 6: Final answer
    x = 240,604.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.