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Finding the Third Proportional to 50,207 and 107,086

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Solution

The third proportional to 50,207 and 107,086 is: 228,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207 : 107,086 = 107,086 : x
  2. Step 2: Convert to fraction form
    50,207/107,086 = 107,086/x
  3. Step 3: Cross multiply
    50,207x = 107,086 × 107,086
  4. Step 4: Simplify right side
    50,207x = 11,467,411,396
  5. Step 5: Solve for x
    x = 11,467,411,396/50,207
  6. Step 6: Final answer
    x = 228,402.64

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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.