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Finding the Third Proportional to 81,194 and 121,460

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Solution

The third proportional to 81,194 and 121,460 is: 181,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194 : 121,460 = 121,460 : x
  2. Step 2: Convert to fraction form
    81,194/121,460 = 121,460/x
  3. Step 3: Cross multiply
    81,194x = 121,460 × 121,460
  4. Step 4: Simplify right side
    81,194x = 14,752,531,600
  5. Step 5: Solve for x
    x = 14,752,531,600/81,194
  6. Step 6: Final answer
    x = 181,694.85

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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.