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Finding the Third Proportional to 81,498 and 171,846

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Solution

The third proportional to 81,498 and 171,846 is: 362,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498 : 171,846 = 171,846 : x
  2. Step 2: Convert to fraction form
    81,498/171,846 = 171,846/x
  3. Step 3: Cross multiply
    81,498x = 171,846 × 171,846
  4. Step 4: Simplify right side
    81,498x = 29,531,047,716
  5. Step 5: Solve for x
    x = 29,531,047,716/81,498
  6. Step 6: Final answer
    x = 362,353.04

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.