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Finding the Third Proportional to 57,824.09 and 86,736.23

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Solution

The third proportional to 57,824.09 and 86,736.23 is: 130,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824.09 : 86,736.23 = 86,736.23 : x
  2. Step 2: Convert to fraction form
    57,824.09/86,736.23 = 86,736.23/x
  3. Step 3: Cross multiply
    57,824.09x = 86,736.23 × 86,736.23
  4. Step 4: Simplify right side
    57,824.09x = 7,523,174,353.55
  5. Step 5: Solve for x
    x = 7,523,174,353.55/57,824.09
  6. Step 6: Final answer
    x = 130,104.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.