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Finding the Third Proportional to 46,764 and 113,211

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Solution

The third proportional to 46,764 and 113,211 is: 274,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764 : 113,211 = 113,211 : x
  2. Step 2: Convert to fraction form
    46,764/113,211 = 113,211/x
  3. Step 3: Cross multiply
    46,764x = 113,211 × 113,211
  4. Step 4: Simplify right side
    46,764x = 12,816,730,521
  5. Step 5: Solve for x
    x = 12,816,730,521/46,764
  6. Step 6: Final answer
    x = 274,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.