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Finding the Third Proportional to 51,968 and 125,652

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Solution

The third proportional to 51,968 and 125,652 is: 303,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,968 : 125,652 = 125,652 : x
  2. Step 2: Convert to fraction form
    51,968/125,652 = 125,652/x
  3. Step 3: Cross multiply
    51,968x = 125,652 × 125,652
  4. Step 4: Simplify right side
    51,968x = 15,788,425,104
  5. Step 5: Solve for x
    x = 15,788,425,104/51,968
  6. Step 6: Final answer
    x = 303,810.52

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.