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Finding the Third Proportional to 37,324 and 81,212

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Solution

The third proportional to 37,324 and 81,212 is: 176,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324 : 81,212 = 81,212 : x
  2. Step 2: Convert to fraction form
    37,324/81,212 = 81,212/x
  3. Step 3: Cross multiply
    37,324x = 81,212 × 81,212
  4. Step 4: Simplify right side
    37,324x = 6,595,388,944
  5. Step 5: Solve for x
    x = 6,595,388,944/37,324
  6. Step 6: Final answer
    x = 176,706.38

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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.