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Finding the Third Proportional to 36,143 and 76,660

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Solution

The third proportional to 36,143 and 76,660 is: 162,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143 : 76,660 = 76,660 : x
  2. Step 2: Convert to fraction form
    36,143/76,660 = 76,660/x
  3. Step 3: Cross multiply
    36,143x = 76,660 × 76,660
  4. Step 4: Simplify right side
    36,143x = 5,876,755,600
  5. Step 5: Solve for x
    x = 5,876,755,600/36,143
  6. Step 6: Final answer
    x = 162,597.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.