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Finding the Third Proportional to 46,917 and 72,755

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Solution

The third proportional to 46,917 and 72,755 is: 112,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,917 : 72,755 = 72,755 : x
  2. Step 2: Convert to fraction form
    46,917/72,755 = 72,755/x
  3. Step 3: Cross multiply
    46,917x = 72,755 × 72,755
  4. Step 4: Simplify right side
    46,917x = 5,293,290,025
  5. Step 5: Solve for x
    x = 5,293,290,025/46,917
  6. Step 6: Final answer
    x = 112,822.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.