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Finding the Third Proportional to 31,450 and 74,137

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Solution

The third proportional to 31,450 and 74,137 is: 174,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450 : 74,137 = 74,137 : x
  2. Step 2: Convert to fraction form
    31,450/74,137 = 74,137/x
  3. Step 3: Cross multiply
    31,450x = 74,137 × 74,137
  4. Step 4: Simplify right side
    31,450x = 5,496,294,769
  5. Step 5: Solve for x
    x = 5,496,294,769/31,450
  6. Step 6: Final answer
    x = 174,762.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.