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Finding the Third Proportional to 140,356 and 182,092

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Solution

The third proportional to 140,356 and 182,092 is: 236,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,356 : 182,092 = 182,092 : x
  2. Step 2: Convert to fraction form
    140,356/182,092 = 182,092/x
  3. Step 3: Cross multiply
    140,356x = 182,092 × 182,092
  4. Step 4: Simplify right side
    140,356x = 33,157,496,464
  5. Step 5: Solve for x
    x = 33,157,496,464/140,356
  6. Step 6: Final answer
    x = 236,238.54

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.