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Finding the Third Proportional to 71,958.38 and 115,548.75

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Solution

The third proportional to 71,958.38 and 115,548.75 is: 185,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,958.38 : 115,548.75 = 115,548.75 : x
  2. Step 2: Convert to fraction form
    71,958.38/115,548.75 = 115,548.75/x
  3. Step 3: Cross multiply
    71,958.38x = 115,548.75 × 115,548.75
  4. Step 4: Simplify right side
    71,958.38x = 13,351,513,626.56
  5. Step 5: Solve for x
    x = 13,351,513,626.56/71,958.38
  6. Step 6: Final answer
    x = 185,544.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.