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Finding the Third Proportional to 33,292 and 72,752

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Solution

The third proportional to 33,292 and 72,752 is: 158,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,292 : 72,752 = 72,752 : x
  2. Step 2: Convert to fraction form
    33,292/72,752 = 72,752/x
  3. Step 3: Cross multiply
    33,292x = 72,752 × 72,752
  4. Step 4: Simplify right side
    33,292x = 5,292,853,504
  5. Step 5: Solve for x
    x = 5,292,853,504/33,292
  6. Step 6: Final answer
    x = 158,982.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.