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Finding the Third Proportional to 50,937 and 109,398

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Solution

The third proportional to 50,937 and 109,398 is: 234,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,937 : 109,398 = 109,398 : x
  2. Step 2: Convert to fraction form
    50,937/109,398 = 109,398/x
  3. Step 3: Cross multiply
    50,937x = 109,398 × 109,398
  4. Step 4: Simplify right side
    50,937x = 11,967,922,404
  5. Step 5: Solve for x
    x = 11,967,922,404/50,937
  6. Step 6: Final answer
    x = 234,955.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.