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Finding the Third Proportional to 48,240 and 103,824

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Solution

The third proportional to 48,240 and 103,824 is: 223,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,240 : 103,824 = 103,824 : x
  2. Step 2: Convert to fraction form
    48,240/103,824 = 103,824/x
  3. Step 3: Cross multiply
    48,240x = 103,824 × 103,824
  4. Step 4: Simplify right side
    48,240x = 10,779,422,976
  5. Step 5: Solve for x
    x = 10,779,422,976/48,240
  6. Step 6: Final answer
    x = 223,454.04

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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.