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Finding the Third Proportional to 81,225 and 121,837

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Solution

The third proportional to 81,225 and 121,837 is: 182,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,225 : 121,837 = 121,837 : x
  2. Step 2: Convert to fraction form
    81,225/121,837 = 121,837/x
  3. Step 3: Cross multiply
    81,225x = 121,837 × 121,837
  4. Step 4: Simplify right side
    81,225x = 14,844,254,569
  5. Step 5: Solve for x
    x = 14,844,254,569/81,225
  6. Step 6: Final answer
    x = 182,754.75

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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.