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Finding the Third Proportional to 82,885 and 131,446

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Solution

The third proportional to 82,885 and 131,446 is: 208,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,885 : 131,446 = 131,446 : x
  2. Step 2: Convert to fraction form
    82,885/131,446 = 131,446/x
  3. Step 3: Cross multiply
    82,885x = 131,446 × 131,446
  4. Step 4: Simplify right side
    82,885x = 17,278,050,916
  5. Step 5: Solve for x
    x = 17,278,050,916/82,885
  6. Step 6: Final answer
    x = 208,458.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.