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Finding the Third Proportional to 50,464 and 107,077

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Solution

The third proportional to 50,464 and 107,077 is: 227,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,464 : 107,077 = 107,077 : x
  2. Step 2: Convert to fraction form
    50,464/107,077 = 107,077/x
  3. Step 3: Cross multiply
    50,464x = 107,077 × 107,077
  4. Step 4: Simplify right side
    50,464x = 11,465,483,929
  5. Step 5: Solve for x
    x = 11,465,483,929/50,464
  6. Step 6: Final answer
    x = 227,201.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.