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Finding the Third Proportional to 55,296 and 85,761

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Solution

The third proportional to 55,296 and 85,761 is: 133,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296 : 85,761 = 85,761 : x
  2. Step 2: Convert to fraction form
    55,296/85,761 = 85,761/x
  3. Step 3: Cross multiply
    55,296x = 85,761 × 85,761
  4. Step 4: Simplify right side
    55,296x = 7,354,949,121
  5. Step 5: Solve for x
    x = 7,354,949,121/55,296
  6. Step 6: Final answer
    x = 133,010.51

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Why These Related Problems?

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