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Finding the Third Proportional to 37,123 and 80,907

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Solution

The third proportional to 37,123 and 80,907 is: 176,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,123 : 80,907 = 80,907 : x
  2. Step 2: Convert to fraction form
    37,123/80,907 = 80,907/x
  3. Step 3: Cross multiply
    37,123x = 80,907 × 80,907
  4. Step 4: Simplify right side
    37,123x = 6,545,942,649
  5. Step 5: Solve for x
    x = 6,545,942,649/37,123
  6. Step 6: Final answer
    x = 176,331.19

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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.