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Finding the Third Proportional to 48,063 and 105,383

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Solution

The third proportional to 48,063 and 105,383 is: 231,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,063 : 105,383 = 105,383 : x
  2. Step 2: Convert to fraction form
    48,063/105,383 = 105,383/x
  3. Step 3: Cross multiply
    48,063x = 105,383 × 105,383
  4. Step 4: Simplify right side
    48,063x = 11,105,576,689
  5. Step 5: Solve for x
    x = 11,105,576,689/48,063
  6. Step 6: Final answer
    x = 231,062.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.