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Finding the Third Proportional to 36,150 and 76,188

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Solution

The third proportional to 36,150 and 76,188 is: 160,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,150 : 76,188 = 76,188 : x
  2. Step 2: Convert to fraction form
    36,150/76,188 = 76,188/x
  3. Step 3: Cross multiply
    36,150x = 76,188 × 76,188
  4. Step 4: Simplify right side
    36,150x = 5,804,611,344
  5. Step 5: Solve for x
    x = 5,804,611,344/36,150
  6. Step 6: Final answer
    x = 160,570.16

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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.