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Finding the Third Proportional to 37,240 and 81,031

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Solution

The third proportional to 37,240 and 81,031 is: 176,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,240 : 81,031 = 81,031 : x
  2. Step 2: Convert to fraction form
    37,240/81,031 = 81,031/x
  3. Step 3: Cross multiply
    37,240x = 81,031 × 81,031
  4. Step 4: Simplify right side
    37,240x = 6,566,022,961
  5. Step 5: Solve for x
    x = 6,566,022,961/37,240
  6. Step 6: Final answer
    x = 176,316.41

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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.