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Finding the Third Proportional to 33,256 and 72,973

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Solution

The third proportional to 33,256 and 72,973 is: 160,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,256 : 72,973 = 72,973 : x
  2. Step 2: Convert to fraction form
    33,256/72,973 = 72,973/x
  3. Step 3: Cross multiply
    33,256x = 72,973 × 72,973
  4. Step 4: Simplify right side
    33,256x = 5,325,058,729
  5. Step 5: Solve for x
    x = 5,325,058,729/33,256
  6. Step 6: Final answer
    x = 160,123.25

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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.