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Finding the Third Proportional to 33,534 and 73,212

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Solution

The third proportional to 33,534 and 73,212 is: 159,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534 : 73,212 = 73,212 : x
  2. Step 2: Convert to fraction form
    33,534/73,212 = 73,212/x
  3. Step 3: Cross multiply
    33,534x = 73,212 × 73,212
  4. Step 4: Simplify right side
    33,534x = 5,359,996,944
  5. Step 5: Solve for x
    x = 5,359,996,944/33,534
  6. Step 6: Final answer
    x = 159,837.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.