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Finding the Third Proportional to 50,015 and 108,617

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Solution

The third proportional to 50,015 and 108,617 is: 235,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,015 : 108,617 = 108,617 : x
  2. Step 2: Convert to fraction form
    50,015/108,617 = 108,617/x
  3. Step 3: Cross multiply
    50,015x = 108,617 × 108,617
  4. Step 4: Simplify right side
    50,015x = 11,797,652,689
  5. Step 5: Solve for x
    x = 11,797,652,689/50,015
  6. Step 6: Final answer
    x = 235,882.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.