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Finding the Third Proportional to 50,142 and 108,924

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Solution

The third proportional to 50,142 and 108,924 is: 236,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142 : 108,924 = 108,924 : x
  2. Step 2: Convert to fraction form
    50,142/108,924 = 108,924/x
  3. Step 3: Cross multiply
    50,142x = 108,924 × 108,924
  4. Step 4: Simplify right side
    50,142x = 11,864,437,776
  5. Step 5: Solve for x
    x = 11,864,437,776/50,142
  6. Step 6: Final answer
    x = 236,616.76

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