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Finding the Third Proportional to 48,245 and 103,834

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Solution

The third proportional to 48,245 and 103,834 is: 223,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,245 : 103,834 = 103,834 : x
  2. Step 2: Convert to fraction form
    48,245/103,834 = 103,834/x
  3. Step 3: Cross multiply
    48,245x = 103,834 × 103,834
  4. Step 4: Simplify right side
    48,245x = 10,781,499,556
  5. Step 5: Solve for x
    x = 10,781,499,556/48,245
  6. Step 6: Final answer
    x = 223,473.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.