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Finding the Third Proportional to 33,451 and 73,121

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Solution

The third proportional to 33,451 and 73,121 is: 159,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,451 : 73,121 = 73,121 : x
  2. Step 2: Convert to fraction form
    33,451/73,121 = 73,121/x
  3. Step 3: Cross multiply
    33,451x = 73,121 × 73,121
  4. Step 4: Simplify right side
    33,451x = 5,346,680,641
  5. Step 5: Solve for x
    x = 5,346,680,641/33,451
  6. Step 6: Final answer
    x = 159,836.20

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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.