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Finding the Third Proportional to 46,826 and 101,589

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Solution

The third proportional to 46,826 and 101,589 is: 220,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,826 : 101,589 = 101,589 : x
  2. Step 2: Convert to fraction form
    46,826/101,589 = 101,589/x
  3. Step 3: Cross multiply
    46,826x = 101,589 × 101,589
  4. Step 4: Simplify right side
    46,826x = 10,320,324,921
  5. Step 5: Solve for x
    x = 10,320,324,921/46,826
  6. Step 6: Final answer
    x = 220,397.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.