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Finding the Third Proportional to 127,904 and 271,394

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Solution

The third proportional to 127,904 and 271,394 is: 575,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,904 : 271,394 = 271,394 : x
  2. Step 2: Convert to fraction form
    127,904/271,394 = 271,394/x
  3. Step 3: Cross multiply
    127,904x = 271,394 × 271,394
  4. Step 4: Simplify right side
    127,904x = 73,654,703,236
  5. Step 5: Solve for x
    x = 73,654,703,236/127,904
  6. Step 6: Final answer
    x = 575,859.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.