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Finding the Third Proportional to 50,209 and 107,090

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Solution

The third proportional to 50,209 and 107,090 is: 228,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209 : 107,090 = 107,090 : x
  2. Step 2: Convert to fraction form
    50,209/107,090 = 107,090/x
  3. Step 3: Cross multiply
    50,209x = 107,090 × 107,090
  4. Step 4: Simplify right side
    50,209x = 11,468,268,100
  5. Step 5: Solve for x
    x = 11,468,268,100/50,209
  6. Step 6: Final answer
    x = 228,410.61

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Why These Related Problems?

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