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Finding the Third Proportional to 52,170.75 and 76,069.13

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Solution

The third proportional to 52,170.75 and 76,069.13 is: 110,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,170.75 : 76,069.13 = 76,069.13 : x
  2. Step 2: Convert to fraction form
    52,170.75/76,069.13 = 76,069.13/x
  3. Step 3: Cross multiply
    52,170.75x = 76,069.13 × 76,069.13
  4. Step 4: Simplify right side
    52,170.75x = 5,786,511,778.27
  5. Step 5: Solve for x
    x = 5,786,511,778.27/52,170.75
  6. Step 6: Final answer
    x = 110,914.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.