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Finding the Third Proportional to 50,731 and 108,252

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Solution

The third proportional to 50,731 and 108,252 is: 230,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,731 : 108,252 = 108,252 : x
  2. Step 2: Convert to fraction form
    50,731/108,252 = 108,252/x
  3. Step 3: Cross multiply
    50,731x = 108,252 × 108,252
  4. Step 4: Simplify right side
    50,731x = 11,718,495,504
  5. Step 5: Solve for x
    x = 11,718,495,504/50,731
  6. Step 6: Final answer
    x = 230,992.80

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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.