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Finding the Third Proportional to 127,071 and 271,593

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Solution

The third proportional to 127,071 and 271,593 is: 580,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,071 : 271,593 = 271,593 : x
  2. Step 2: Convert to fraction form
    127,071/271,593 = 271,593/x
  3. Step 3: Cross multiply
    127,071x = 271,593 × 271,593
  4. Step 4: Simplify right side
    127,071x = 73,762,757,649
  5. Step 5: Solve for x
    x = 73,762,757,649/127,071
  6. Step 6: Final answer
    x = 580,484.59

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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.