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Finding the Third Proportional to 52,100.72 and 71,760.94

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Solution

The third proportional to 52,100.72 and 71,760.94 is: 98,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,100.72 : 71,760.94 = 71,760.94 : x
  2. Step 2: Convert to fraction form
    52,100.72/71,760.94 = 71,760.94/x
  3. Step 3: Cross multiply
    52,100.72x = 71,760.94 × 71,760.94
  4. Step 4: Simplify right side
    52,100.72x = 5,149,632,150.88
  5. Step 5: Solve for x
    x = 5,149,632,150.88/52,100.72
  6. Step 6: Final answer
    x = 98,839.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.