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Finding the Third Proportional to 50,449 and 108,143

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Solution

The third proportional to 50,449 and 108,143 is: 231,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,449 : 108,143 = 108,143 : x
  2. Step 2: Convert to fraction form
    50,449/108,143 = 108,143/x
  3. Step 3: Cross multiply
    50,449x = 108,143 × 108,143
  4. Step 4: Simplify right side
    50,449x = 11,694,908,449
  5. Step 5: Solve for x
    x = 11,694,908,449/50,449
  6. Step 6: Final answer
    x = 231,816.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.