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Finding the Third Proportional to 37,612 and 89,110

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Solution

The third proportional to 37,612 and 89,110 is: 211,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,612 : 89,110 = 89,110 : x
  2. Step 2: Convert to fraction form
    37,612/89,110 = 89,110/x
  3. Step 3: Cross multiply
    37,612x = 89,110 × 89,110
  4. Step 4: Simplify right side
    37,612x = 7,940,592,100
  5. Step 5: Solve for x
    x = 7,940,592,100/37,612
  6. Step 6: Final answer
    x = 211,118.58

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.