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Finding the Third Proportional to 70,791.75 and 107,094.38

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Solution

The third proportional to 70,791.75 and 107,094.38 is: 162,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,791.75 : 107,094.38 = 107,094.38 : x
  2. Step 2: Convert to fraction form
    70,791.75/107,094.38 = 107,094.38/x
  3. Step 3: Cross multiply
    70,791.75x = 107,094.38 × 107,094.38
  4. Step 4: Simplify right side
    70,791.75x = 11,469,205,156.64
  5. Step 5: Solve for x
    x = 11,469,205,156.64/70,791.75
  6. Step 6: Final answer
    x = 162,013.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.