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Finding the Third Proportional to 48,452.75 and 103,910

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Solution

The third proportional to 48,452.75 and 103,910 is: 222,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452.75 : 103,910 = 103,910 : x
  2. Step 2: Convert to fraction form
    48,452.75/103,910 = 103,910/x
  3. Step 3: Cross multiply
    48,452.75x = 103,910 × 103,910
  4. Step 4: Simplify right side
    48,452.75x = 10,797,288,100
  5. Step 5: Solve for x
    x = 10,797,288,100/48,452.75
  6. Step 6: Final answer
    x = 222,841.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.