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Finding the Third Proportional to 127,176 and 271,236

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Solution

The third proportional to 127,176 and 271,236 is: 578,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,176 : 271,236 = 271,236 : x
  2. Step 2: Convert to fraction form
    127,176/271,236 = 271,236/x
  3. Step 3: Cross multiply
    127,176x = 271,236 × 271,236
  4. Step 4: Simplify right side
    127,176x = 73,568,967,696
  5. Step 5: Solve for x
    x = 73,568,967,696/127,176
  6. Step 6: Final answer
    x = 578,481.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.