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Finding the Third Proportional to 81,186 and 121,449

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Solution

The third proportional to 81,186 and 121,449 is: 181,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,186 : 121,449 = 121,449 : x
  2. Step 2: Convert to fraction form
    81,186/121,449 = 121,449/x
  3. Step 3: Cross multiply
    81,186x = 121,449 × 121,449
  4. Step 4: Simplify right side
    81,186x = 14,749,859,601
  5. Step 5: Solve for x
    x = 14,749,859,601/81,186
  6. Step 6: Final answer
    x = 181,679.84

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Why These Related Problems?

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