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Finding the Third Proportional to 35,104.88 and 76,162.13

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Solution

The third proportional to 35,104.88 and 76,162.13 is: 165,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,104.88 : 76,162.13 = 76,162.13 : x
  2. Step 2: Convert to fraction form
    35,104.88/76,162.13 = 76,162.13/x
  3. Step 3: Cross multiply
    35,104.88x = 76,162.13 × 76,162.13
  4. Step 4: Simplify right side
    35,104.88x = 5,800,669,284.52
  5. Step 5: Solve for x
    x = 5,800,669,284.52/35,104.88
  6. Step 6: Final answer
    x = 165,238.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.