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Finding the Third Proportional to 33,757 and 78,151

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Solution

The third proportional to 33,757 and 78,151 is: 180,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,757 : 78,151 = 78,151 : x
  2. Step 2: Convert to fraction form
    33,757/78,151 = 78,151/x
  3. Step 3: Cross multiply
    33,757x = 78,151 × 78,151
  4. Step 4: Simplify right side
    33,757x = 6,107,578,801
  5. Step 5: Solve for x
    x = 6,107,578,801/33,757
  6. Step 6: Final answer
    x = 180,927.77

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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.