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Finding the Third Proportional to 127,376 and 269,924

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Solution

The third proportional to 127,376 and 269,924 is: 571,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,376 : 269,924 = 269,924 : x
  2. Step 2: Convert to fraction form
    127,376/269,924 = 269,924/x
  3. Step 3: Cross multiply
    127,376x = 269,924 × 269,924
  4. Step 4: Simplify right side
    127,376x = 72,858,965,776
  5. Step 5: Solve for x
    x = 72,858,965,776/127,376
  6. Step 6: Final answer
    x = 571,999.17

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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.