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Finding the Third Proportional to 52,348 and 108,728

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Solution

The third proportional to 52,348 and 108,728 is: 225,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,348 : 108,728 = 108,728 : x
  2. Step 2: Convert to fraction form
    52,348/108,728 = 108,728/x
  3. Step 3: Cross multiply
    52,348x = 108,728 × 108,728
  4. Step 4: Simplify right side
    52,348x = 11,821,777,984
  5. Step 5: Solve for x
    x = 11,821,777,984/52,348
  6. Step 6: Final answer
    x = 225,830.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.