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Finding the Third Proportional to 33,452 and 70,187

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Solution

The third proportional to 33,452 and 70,187 is: 147,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452 : 70,187 = 70,187 : x
  2. Step 2: Convert to fraction form
    33,452/70,187 = 70,187/x
  3. Step 3: Cross multiply
    33,452x = 70,187 × 70,187
  4. Step 4: Simplify right side
    33,452x = 4,926,214,969
  5. Step 5: Solve for x
    x = 4,926,214,969/33,452
  6. Step 6: Final answer
    x = 147,262.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.