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Finding the Third Proportional to 50,550 and 105,231

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Solution

The third proportional to 50,550 and 105,231 is: 219,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,550 : 105,231 = 105,231 : x
  2. Step 2: Convert to fraction form
    50,550/105,231 = 105,231/x
  3. Step 3: Cross multiply
    50,550x = 105,231 × 105,231
  4. Step 4: Simplify right side
    50,550x = 11,073,563,361
  5. Step 5: Solve for x
    x = 11,073,563,361/50,550
  6. Step 6: Final answer
    x = 219,061.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.