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Finding the Third Proportional to 48,073 and 103,255

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Solution

The third proportional to 48,073 and 103,255 is: 221,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,073 : 103,255 = 103,255 : x
  2. Step 2: Convert to fraction form
    48,073/103,255 = 103,255/x
  3. Step 3: Cross multiply
    48,073x = 103,255 × 103,255
  4. Step 4: Simplify right side
    48,073x = 10,661,595,025
  5. Step 5: Solve for x
    x = 10,661,595,025/48,073
  6. Step 6: Final answer
    x = 221,779.27

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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.