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Finding the Third Proportional to 36,059 and 77,319

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Solution

The third proportional to 36,059 and 77,319 is: 165,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,059 : 77,319 = 77,319 : x
  2. Step 2: Convert to fraction form
    36,059/77,319 = 77,319/x
  3. Step 3: Cross multiply
    36,059x = 77,319 × 77,319
  4. Step 4: Simplify right side
    36,059x = 5,978,227,761
  5. Step 5: Solve for x
    x = 5,978,227,761/36,059
  6. Step 6: Final answer
    x = 165,790.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.