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Finding the Third Proportional to 81,233 and 121,173

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Solution

The third proportional to 81,233 and 121,173 is: 180,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,233 : 121,173 = 121,173 : x
  2. Step 2: Convert to fraction form
    81,233/121,173 = 121,173/x
  3. Step 3: Cross multiply
    81,233x = 121,173 × 121,173
  4. Step 4: Simplify right side
    81,233x = 14,682,895,929
  5. Step 5: Solve for x
    x = 14,682,895,929/81,233
  6. Step 6: Final answer
    x = 180,750.38

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Why These Related Problems?

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