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Finding the Third Proportional to 35,212 and 76,742

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Solution

The third proportional to 35,212 and 76,742 is: 167,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,212 : 76,742 = 76,742 : x
  2. Step 2: Convert to fraction form
    35,212/76,742 = 76,742/x
  3. Step 3: Cross multiply
    35,212x = 76,742 × 76,742
  4. Step 4: Simplify right side
    35,212x = 5,889,334,564
  5. Step 5: Solve for x
    x = 5,889,334,564/35,212
  6. Step 6: Final answer
    x = 167,253.62

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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.