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Finding the Third Proportional to 50,173 and 108,983

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Solution

The third proportional to 50,173 and 108,983 is: 236,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,173 : 108,983 = 108,983 : x
  2. Step 2: Convert to fraction form
    50,173/108,983 = 108,983/x
  3. Step 3: Cross multiply
    50,173x = 108,983 × 108,983
  4. Step 4: Simplify right side
    50,173x = 11,877,294,289
  5. Step 5: Solve for x
    x = 11,877,294,289/50,173
  6. Step 6: Final answer
    x = 236,726.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.