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Finding the Third Proportional to 50,624 and 109,021

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Solution

The third proportional to 50,624 and 109,021 is: 234,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,624 : 109,021 = 109,021 : x
  2. Step 2: Convert to fraction form
    50,624/109,021 = 109,021/x
  3. Step 3: Cross multiply
    50,624x = 109,021 × 109,021
  4. Step 4: Simplify right side
    50,624x = 11,885,578,441
  5. Step 5: Solve for x
    x = 11,885,578,441/50,624
  6. Step 6: Final answer
    x = 234,781.50

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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.