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Finding the Third Proportional to 61,728 and 127,824

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Solution

The third proportional to 61,728 and 127,824 is: 264,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728 : 127,824 = 127,824 : x
  2. Step 2: Convert to fraction form
    61,728/127,824 = 127,824/x
  3. Step 3: Cross multiply
    61,728x = 127,824 × 127,824
  4. Step 4: Simplify right side
    61,728x = 16,338,974,976
  5. Step 5: Solve for x
    x = 16,338,974,976/61,728
  6. Step 6: Final answer
    x = 264,693.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.