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Finding the Third Proportional to 85,934 and 132,789

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Solution

The third proportional to 85,934 and 132,789 is: 205,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,934 : 132,789 = 132,789 : x
  2. Step 2: Convert to fraction form
    85,934/132,789 = 132,789/x
  3. Step 3: Cross multiply
    85,934x = 132,789 × 132,789
  4. Step 4: Simplify right side
    85,934x = 17,632,918,521
  5. Step 5: Solve for x
    x = 17,632,918,521/85,934
  6. Step 6: Final answer
    x = 205,191.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.