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Finding the Third Proportional to 50,120 and 108,304

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Solution

The third proportional to 50,120 and 108,304 is: 234,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,120 : 108,304 = 108,304 : x
  2. Step 2: Convert to fraction form
    50,120/108,304 = 108,304/x
  3. Step 3: Cross multiply
    50,120x = 108,304 × 108,304
  4. Step 4: Simplify right side
    50,120x = 11,729,756,416
  5. Step 5: Solve for x
    x = 11,729,756,416/50,120
  6. Step 6: Final answer
    x = 234,033.45

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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.