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Finding the Third Proportional to 37,184 and 81,137

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Solution

The third proportional to 37,184 and 81,137 is: 177,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184 : 81,137 = 81,137 : x
  2. Step 2: Convert to fraction form
    37,184/81,137 = 81,137/x
  3. Step 3: Cross multiply
    37,184x = 81,137 × 81,137
  4. Step 4: Simplify right side
    37,184x = 6,583,212,769
  5. Step 5: Solve for x
    x = 6,583,212,769/37,184
  6. Step 6: Final answer
    x = 177,044.23

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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.