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Finding the Third Proportional to 33,745 and 73,316

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Solution

The third proportional to 33,745 and 73,316 is: 159,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,745 : 73,316 = 73,316 : x
  2. Step 2: Convert to fraction form
    33,745/73,316 = 73,316/x
  3. Step 3: Cross multiply
    33,745x = 73,316 × 73,316
  4. Step 4: Simplify right side
    33,745x = 5,375,235,856
  5. Step 5: Solve for x
    x = 5,375,235,856/33,745
  6. Step 6: Final answer
    x = 159,289.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.