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Finding the Third Proportional to 94,791.75 and 142,431

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Solution

The third proportional to 94,791.75 and 142,431 is: 214,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,791.75 : 142,431 = 142,431 : x
  2. Step 2: Convert to fraction form
    94,791.75/142,431 = 142,431/x
  3. Step 3: Cross multiply
    94,791.75x = 142,431 × 142,431
  4. Step 4: Simplify right side
    94,791.75x = 20,286,589,761
  5. Step 5: Solve for x
    x = 20,286,589,761/94,791.75
  6. Step 6: Final answer
    x = 214,012.19

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Why These Related Problems?

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