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Finding the Third Proportional to 36,186 and 76,260

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Solution

The third proportional to 36,186 and 76,260 is: 160,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,186 : 76,260 = 76,260 : x
  2. Step 2: Convert to fraction form
    36,186/76,260 = 76,260/x
  3. Step 3: Cross multiply
    36,186x = 76,260 × 76,260
  4. Step 4: Simplify right side
    36,186x = 5,815,587,600
  5. Step 5: Solve for x
    x = 5,815,587,600/36,186
  6. Step 6: Final answer
    x = 160,713.75

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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.