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Finding the Third Proportional to 95,791.50 and 145,013.63

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Solution

The third proportional to 95,791.50 and 145,013.63 is: 219,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,791.50 : 145,013.63 = 145,013.63 : x
  2. Step 2: Convert to fraction form
    95,791.50/145,013.63 = 145,013.63/x
  3. Step 3: Cross multiply
    95,791.50x = 145,013.63 × 145,013.63
  4. Step 4: Simplify right side
    95,791.50x = 21,028,951,435.64
  5. Step 5: Solve for x
    x = 21,028,951,435.64/95,791.50
  6. Step 6: Final answer
    x = 219,528.37

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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.