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Finding the Third Proportional to 126,995 and 271,485

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Solution

The third proportional to 126,995 and 271,485 is: 580,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,995 : 271,485 = 271,485 : x
  2. Step 2: Convert to fraction form
    126,995/271,485 = 271,485/x
  3. Step 3: Cross multiply
    126,995x = 271,485 × 271,485
  4. Step 4: Simplify right side
    126,995x = 73,704,105,225
  5. Step 5: Solve for x
    x = 73,704,105,225/126,995
  6. Step 6: Final answer
    x = 580,370.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.