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Finding the Third Proportional to 31,736 and 74,169

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Solution

The third proportional to 31,736 and 74,169 is: 173,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,736 : 74,169 = 74,169 : x
  2. Step 2: Convert to fraction form
    31,736/74,169 = 74,169/x
  3. Step 3: Cross multiply
    31,736x = 74,169 × 74,169
  4. Step 4: Simplify right side
    31,736x = 5,501,040,561
  5. Step 5: Solve for x
    x = 5,501,040,561/31,736
  6. Step 6: Final answer
    x = 173,337.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.