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Finding the Third Proportional to 40,794 and 88,116

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Solution

The third proportional to 40,794 and 88,116 is: 190,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,794 : 88,116 = 88,116 : x
  2. Step 2: Convert to fraction form
    40,794/88,116 = 88,116/x
  3. Step 3: Cross multiply
    40,794x = 88,116 × 88,116
  4. Step 4: Simplify right side
    40,794x = 7,764,429,456
  5. Step 5: Solve for x
    x = 7,764,429,456/40,794
  6. Step 6: Final answer
    x = 190,332.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.