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Finding the Third Proportional to 46,882 and 110,669

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Solution

The third proportional to 46,882 and 110,669 is: 261,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,882 : 110,669 = 110,669 : x
  2. Step 2: Convert to fraction form
    46,882/110,669 = 110,669/x
  3. Step 3: Cross multiply
    46,882x = 110,669 × 110,669
  4. Step 4: Simplify right side
    46,882x = 12,247,627,561
  5. Step 5: Solve for x
    x = 12,247,627,561/46,882
  6. Step 6: Final answer
    x = 261,243.71

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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.