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Finding the Third Proportional to 81,467 and 121,739

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Solution

The third proportional to 81,467 and 121,739 is: 181,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,467 : 121,739 = 121,739 : x
  2. Step 2: Convert to fraction form
    81,467/121,739 = 121,739/x
  3. Step 3: Cross multiply
    81,467x = 121,739 × 121,739
  4. Step 4: Simplify right side
    81,467x = 14,820,384,121
  5. Step 5: Solve for x
    x = 14,820,384,121/81,467
  6. Step 6: Final answer
    x = 181,918.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.