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Finding the Third Proportional to 36,180 and 76,248

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Solution

The third proportional to 36,180 and 76,248 is: 160,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180 : 76,248 = 76,248 : x
  2. Step 2: Convert to fraction form
    36,180/76,248 = 76,248/x
  3. Step 3: Cross multiply
    36,180x = 76,248 × 76,248
  4. Step 4: Simplify right side
    36,180x = 5,813,757,504
  5. Step 5: Solve for x
    x = 5,813,757,504/36,180
  6. Step 6: Final answer
    x = 160,689.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.