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Finding the Third Proportional to 126,334 and 182,515

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Solution

The third proportional to 126,334 and 182,515 is: 263,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,334 : 182,515 = 182,515 : x
  2. Step 2: Convert to fraction form
    126,334/182,515 = 182,515/x
  3. Step 3: Cross multiply
    126,334x = 182,515 × 182,515
  4. Step 4: Simplify right side
    126,334x = 33,311,725,225
  5. Step 5: Solve for x
    x = 33,311,725,225/126,334
  6. Step 6: Final answer
    x = 263,679.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.