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Finding the Third Proportional to 50,022 and 106,955

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Solution

The third proportional to 50,022 and 106,955 is: 228,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,022 : 106,955 = 106,955 : x
  2. Step 2: Convert to fraction form
    50,022/106,955 = 106,955/x
  3. Step 3: Cross multiply
    50,022x = 106,955 × 106,955
  4. Step 4: Simplify right side
    50,022x = 11,439,372,025
  5. Step 5: Solve for x
    x = 11,439,372,025/50,022
  6. Step 6: Final answer
    x = 228,686.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.