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Finding the Third Proportional to 50,576.50 and 110,828

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Solution

The third proportional to 50,576.50 and 110,828 is: 242,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,576.50 : 110,828 = 110,828 : x
  2. Step 2: Convert to fraction form
    50,576.50/110,828 = 110,828/x
  3. Step 3: Cross multiply
    50,576.50x = 110,828 × 110,828
  4. Step 4: Simplify right side
    50,576.50x = 12,282,845,584
  5. Step 5: Solve for x
    x = 12,282,845,584/50,576.50
  6. Step 6: Final answer
    x = 242,856.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.