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Finding the Third Proportional to 37,568 and 87,358

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Solution

The third proportional to 37,568 and 87,358 is: 203,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,568 : 87,358 = 87,358 : x
  2. Step 2: Convert to fraction form
    37,568/87,358 = 87,358/x
  3. Step 3: Cross multiply
    37,568x = 87,358 × 87,358
  4. Step 4: Simplify right side
    37,568x = 7,631,420,164
  5. Step 5: Solve for x
    x = 7,631,420,164/37,568
  6. Step 6: Final answer
    x = 203,136.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.