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Finding the Third Proportional to 50,241 and 108,369

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Solution

The third proportional to 50,241 and 108,369 is: 233,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,241 : 108,369 = 108,369 : x
  2. Step 2: Convert to fraction form
    50,241/108,369 = 108,369/x
  3. Step 3: Cross multiply
    50,241x = 108,369 × 108,369
  4. Step 4: Simplify right side
    50,241x = 11,743,840,161
  5. Step 5: Solve for x
    x = 11,743,840,161/50,241
  6. Step 6: Final answer
    x = 233,750.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.