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Finding the Third Proportional to 37,203 and 87,805

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Solution

The third proportional to 37,203 and 87,805 is: 207,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,203 : 87,805 = 87,805 : x
  2. Step 2: Convert to fraction form
    37,203/87,805 = 87,805/x
  3. Step 3: Cross multiply
    37,203x = 87,805 × 87,805
  4. Step 4: Simplify right side
    37,203x = 7,709,718,025
  5. Step 5: Solve for x
    x = 7,709,718,025/37,203
  6. Step 6: Final answer
    x = 207,233.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.