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Finding the Third Proportional to 95,049 and 132,885

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Solution

The third proportional to 95,049 and 132,885 is: 185,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,049 : 132,885 = 132,885 : x
  2. Step 2: Convert to fraction form
    95,049/132,885 = 132,885/x
  3. Step 3: Cross multiply
    95,049x = 132,885 × 132,885
  4. Step 4: Simplify right side
    95,049x = 17,658,423,225
  5. Step 5: Solve for x
    x = 17,658,423,225/95,049
  6. Step 6: Final answer
    x = 185,782.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.