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Finding the Third Proportional to 50,436 and 106,032

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Solution

The third proportional to 50,436 and 106,032 is: 222,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,436 : 106,032 = 106,032 : x
  2. Step 2: Convert to fraction form
    50,436/106,032 = 106,032/x
  3. Step 3: Cross multiply
    50,436x = 106,032 × 106,032
  4. Step 4: Simplify right side
    50,436x = 11,242,785,024
  5. Step 5: Solve for x
    x = 11,242,785,024/50,436
  6. Step 6: Final answer
    x = 222,911.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.