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Finding the Third Proportional to 81,500 and 171,850

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Solution

The third proportional to 81,500 and 171,850 is: 362,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,500 : 171,850 = 171,850 : x
  2. Step 2: Convert to fraction form
    81,500/171,850 = 171,850/x
  3. Step 3: Cross multiply
    81,500x = 171,850 × 171,850
  4. Step 4: Simplify right side
    81,500x = 29,532,422,500
  5. Step 5: Solve for x
    x = 29,532,422,500/81,500
  6. Step 6: Final answer
    x = 362,361.01

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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.