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Finding the Third Proportional to 51,761 and 110,995

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Solution

The third proportional to 51,761 and 110,995 is: 238,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,761 : 110,995 = 110,995 : x
  2. Step 2: Convert to fraction form
    51,761/110,995 = 110,995/x
  3. Step 3: Cross multiply
    51,761x = 110,995 × 110,995
  4. Step 4: Simplify right side
    51,761x = 12,319,890,025
  5. Step 5: Solve for x
    x = 12,319,890,025/51,761
  6. Step 6: Final answer
    x = 238,014.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.