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Finding the Third Proportional to 50,015 and 109,324

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Solution

The third proportional to 50,015 and 109,324 is: 238,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,015 : 109,324 = 109,324 : x
  2. Step 2: Convert to fraction form
    50,015/109,324 = 109,324/x
  3. Step 3: Cross multiply
    50,015x = 109,324 × 109,324
  4. Step 4: Simplify right side
    50,015x = 11,951,736,976
  5. Step 5: Solve for x
    x = 11,951,736,976/50,015
  6. Step 6: Final answer
    x = 238,963.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.