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Finding the Third Proportional to 52,824 and 106,512

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Solution

The third proportional to 52,824 and 106,512 is: 214,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,824 : 106,512 = 106,512 : x
  2. Step 2: Convert to fraction form
    52,824/106,512 = 106,512/x
  3. Step 3: Cross multiply
    52,824x = 106,512 × 106,512
  4. Step 4: Simplify right side
    52,824x = 11,344,806,144
  5. Step 5: Solve for x
    x = 11,344,806,144/52,824
  6. Step 6: Final answer
    x = 214,766.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.