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Finding the Third Proportional to 48,948 and 105,012

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Solution

The third proportional to 48,948 and 105,012 is: 225,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,948 : 105,012 = 105,012 : x
  2. Step 2: Convert to fraction form
    48,948/105,012 = 105,012/x
  3. Step 3: Cross multiply
    48,948x = 105,012 × 105,012
  4. Step 4: Simplify right side
    48,948x = 11,027,520,144
  5. Step 5: Solve for x
    x = 11,027,520,144/48,948
  6. Step 6: Final answer
    x = 225,290.52

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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.