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Finding the Third Proportional to 33,069 and 72,273

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Solution

The third proportional to 33,069 and 72,273 is: 157,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,069 : 72,273 = 72,273 : x
  2. Step 2: Convert to fraction form
    33,069/72,273 = 72,273/x
  3. Step 3: Cross multiply
    33,069x = 72,273 × 72,273
  4. Step 4: Simplify right side
    33,069x = 5,223,386,529
  5. Step 5: Solve for x
    x = 5,223,386,529/33,069
  6. Step 6: Final answer
    x = 157,954.17

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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.