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Finding the Third Proportional to 48,520.50 and 102,873

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Solution

The third proportional to 48,520.50 and 102,873 is: 218,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,520.50 : 102,873 = 102,873 : x
  2. Step 2: Convert to fraction form
    48,520.50/102,873 = 102,873/x
  3. Step 3: Cross multiply
    48,520.50x = 102,873 × 102,873
  4. Step 4: Simplify right side
    48,520.50x = 10,582,854,129
  5. Step 5: Solve for x
    x = 10,582,854,129/48,520.50
  6. Step 6: Final answer
    x = 218,110.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.