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Finding the Third Proportional to 50,190 and 108,651

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Solution

The third proportional to 50,190 and 108,651 is: 235,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,190 : 108,651 = 108,651 : x
  2. Step 2: Convert to fraction form
    50,190/108,651 = 108,651/x
  3. Step 3: Cross multiply
    50,190x = 108,651 × 108,651
  4. Step 4: Simplify right side
    50,190x = 11,805,039,801
  5. Step 5: Solve for x
    x = 11,805,039,801/50,190
  6. Step 6: Final answer
    x = 235,207.01

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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.