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Finding the Third Proportional to 81,671 and 122,983

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Solution

The third proportional to 81,671 and 122,983 is: 185,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,671 : 122,983 = 122,983 : x
  2. Step 2: Convert to fraction form
    81,671/122,983 = 122,983/x
  3. Step 3: Cross multiply
    81,671x = 122,983 × 122,983
  4. Step 4: Simplify right side
    81,671x = 15,124,818,289
  5. Step 5: Solve for x
    x = 15,124,818,289/81,671
  6. Step 6: Final answer
    x = 185,192.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.