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Finding the Third Proportional to 37,776 and 82,176

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Solution

The third proportional to 37,776 and 82,176 is: 178,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,776 : 82,176 = 82,176 : x
  2. Step 2: Convert to fraction form
    37,776/82,176 = 82,176/x
  3. Step 3: Cross multiply
    37,776x = 82,176 × 82,176
  4. Step 4: Simplify right side
    37,776x = 6,752,894,976
  5. Step 5: Solve for x
    x = 6,752,894,976/37,776
  6. Step 6: Final answer
    x = 178,761.51

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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.