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Finding the Third Proportional to 39,469.78 and 75,302.16

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Solution

The third proportional to 39,469.78 and 75,302.16 is: 143,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,469.78 : 75,302.16 = 75,302.16 : x
  2. Step 2: Convert to fraction form
    39,469.78/75,302.16 = 75,302.16/x
  3. Step 3: Cross multiply
    39,469.78x = 75,302.16 × 75,302.16
  4. Step 4: Simplify right side
    39,469.78x = 5,670,414,735.90
  5. Step 5: Solve for x
    x = 5,670,414,735.90/39,469.78
  6. Step 6: Final answer
    x = 143,664.71

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.