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Finding the Third Proportional to 50,802 and 109,955

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Solution

The third proportional to 50,802 and 109,955 is: 237,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802 : 109,955 = 109,955 : x
  2. Step 2: Convert to fraction form
    50,802/109,955 = 109,955/x
  3. Step 3: Cross multiply
    50,802x = 109,955 × 109,955
  4. Step 4: Simplify right side
    50,802x = 12,090,102,025
  5. Step 5: Solve for x
    x = 12,090,102,025/50,802
  6. Step 6: Final answer
    x = 237,984.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.