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Finding the Third Proportional to 127,017 and 271,530

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Solution

The third proportional to 127,017 and 271,530 is: 580,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,017 : 271,530 = 271,530 : x
  2. Step 2: Convert to fraction form
    127,017/271,530 = 271,530/x
  3. Step 3: Cross multiply
    127,017x = 271,530 × 271,530
  4. Step 4: Simplify right side
    127,017x = 73,728,540,900
  5. Step 5: Solve for x
    x = 73,728,540,900/127,017
  6. Step 6: Final answer
    x = 580,461.99

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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.