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Finding the Third Proportional to 48,047.50 and 104,843

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Solution

The third proportional to 48,047.50 and 104,843 is: 228,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,047.50 : 104,843 = 104,843 : x
  2. Step 2: Convert to fraction form
    48,047.50/104,843 = 104,843/x
  3. Step 3: Cross multiply
    48,047.50x = 104,843 × 104,843
  4. Step 4: Simplify right side
    48,047.50x = 10,992,054,649
  5. Step 5: Solve for x
    x = 10,992,054,649/48,047.50
  6. Step 6: Final answer
    x = 228,774.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.