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Finding the Third Proportional to 33,768 and 78,177

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Solution

The third proportional to 33,768 and 78,177 is: 180,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768 : 78,177 = 78,177 : x
  2. Step 2: Convert to fraction form
    33,768/78,177 = 78,177/x
  3. Step 3: Cross multiply
    33,768x = 78,177 × 78,177
  4. Step 4: Simplify right side
    33,768x = 6,111,643,329
  5. Step 5: Solve for x
    x = 6,111,643,329/33,768
  6. Step 6: Final answer
    x = 180,989.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.