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Finding the Third Proportional to 35,213 and 76,744

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Solution

The third proportional to 35,213 and 76,744 is: 167,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,213 : 76,744 = 76,744 : x
  2. Step 2: Convert to fraction form
    35,213/76,744 = 76,744/x
  3. Step 3: Cross multiply
    35,213x = 76,744 × 76,744
  4. Step 4: Simplify right side
    35,213x = 5,889,641,536
  5. Step 5: Solve for x
    x = 5,889,641,536/35,213
  6. Step 6: Final answer
    x = 167,257.59

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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.