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Finding the Third Proportional to 127,668 and 271,476

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Solution

The third proportional to 127,668 and 271,476 is: 577,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,668 : 271,476 = 271,476 : x
  2. Step 2: Convert to fraction form
    127,668/271,476 = 271,476/x
  3. Step 3: Cross multiply
    127,668x = 271,476 × 271,476
  4. Step 4: Simplify right side
    127,668x = 73,699,218,576
  5. Step 5: Solve for x
    x = 73,699,218,576/127,668
  6. Step 6: Final answer
    x = 577,272.45

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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.