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Finding the Third Proportional to 46,890 and 110,689

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Solution

The third proportional to 46,890 and 110,689 is: 261,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,890 : 110,689 = 110,689 : x
  2. Step 2: Convert to fraction form
    46,890/110,689 = 110,689/x
  3. Step 3: Cross multiply
    46,890x = 110,689 × 110,689
  4. Step 4: Simplify right side
    46,890x = 12,252,054,721
  5. Step 5: Solve for x
    x = 12,252,054,721/46,890
  6. Step 6: Final answer
    x = 261,293.55

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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.