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Finding the Third Proportional to 50,634 and 117,221

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Solution

The third proportional to 50,634 and 117,221 is: 271,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,634 : 117,221 = 117,221 : x
  2. Step 2: Convert to fraction form
    50,634/117,221 = 117,221/x
  3. Step 3: Cross multiply
    50,634x = 117,221 × 117,221
  4. Step 4: Simplify right side
    50,634x = 13,740,762,841
  5. Step 5: Solve for x
    x = 13,740,762,841/50,634
  6. Step 6: Final answer
    x = 271,374.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.