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Finding the Third Proportional to 127,696 and 261,728

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Solution

The third proportional to 127,696 and 261,728 is: 536,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,696 : 261,728 = 261,728 : x
  2. Step 2: Convert to fraction form
    127,696/261,728 = 261,728/x
  3. Step 3: Cross multiply
    127,696x = 261,728 × 261,728
  4. Step 4: Simplify right side
    127,696x = 68,501,545,984
  5. Step 5: Solve for x
    x = 68,501,545,984/127,696
  6. Step 6: Final answer
    x = 536,442.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.