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Finding the Third Proportional to 37,240 and 81,174

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Solution

The third proportional to 37,240 and 81,174 is: 176,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,240 : 81,174 = 81,174 : x
  2. Step 2: Convert to fraction form
    37,240/81,174 = 81,174/x
  3. Step 3: Cross multiply
    37,240x = 81,174 × 81,174
  4. Step 4: Simplify right side
    37,240x = 6,589,218,276
  5. Step 5: Solve for x
    x = 6,589,218,276/37,240
  6. Step 6: Final answer
    x = 176,939.27

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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.