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Finding the Third Proportional to 50,147 and 106,792

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Solution

The third proportional to 50,147 and 106,792 is: 227,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,147 : 106,792 = 106,792 : x
  2. Step 2: Convert to fraction form
    50,147/106,792 = 106,792/x
  3. Step 3: Cross multiply
    50,147x = 106,792 × 106,792
  4. Step 4: Simplify right side
    50,147x = 11,404,531,264
  5. Step 5: Solve for x
    x = 11,404,531,264/50,147
  6. Step 6: Final answer
    x = 227,422.00

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.