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Finding the Third Proportional to 53,517.75 and 126,564.75

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Solution

The third proportional to 53,517.75 and 126,564.75 is: 299,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,517.75 : 126,564.75 = 126,564.75 : x
  2. Step 2: Convert to fraction form
    53,517.75/126,564.75 = 126,564.75/x
  3. Step 3: Cross multiply
    53,517.75x = 126,564.75 × 126,564.75
  4. Step 4: Simplify right side
    53,517.75x = 16,018,635,942.56
  5. Step 5: Solve for x
    x = 16,018,635,942.56/53,517.75
  6. Step 6: Final answer
    x = 299,314.45

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.