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Finding the Third Proportional to 73,936.69 and 110,778.75

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Solution

The third proportional to 73,936.69 and 110,778.75 is: 165,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936.69 : 110,778.75 = 110,778.75 : x
  2. Step 2: Convert to fraction form
    73,936.69/110,778.75 = 110,778.75/x
  3. Step 3: Cross multiply
    73,936.69x = 110,778.75 × 110,778.75
  4. Step 4: Simplify right side
    73,936.69x = 12,271,931,451.56
  5. Step 5: Solve for x
    x = 12,271,931,451.56/73,936.69
  6. Step 6: Final answer
    x = 165,978.92

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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.