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Finding the Third Proportional to 81,375 and 121,983

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Solution

The third proportional to 81,375 and 121,983 is: 182,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,375 : 121,983 = 121,983 : x
  2. Step 2: Convert to fraction form
    81,375/121,983 = 121,983/x
  3. Step 3: Cross multiply
    81,375x = 121,983 × 121,983
  4. Step 4: Simplify right side
    81,375x = 14,879,852,289
  5. Step 5: Solve for x
    x = 14,879,852,289/81,375
  6. Step 6: Final answer
    x = 182,855.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.