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Finding the Third Proportional to 51,943 and 110,995

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Solution

The third proportional to 51,943 and 110,995 is: 237,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,943 : 110,995 = 110,995 : x
  2. Step 2: Convert to fraction form
    51,943/110,995 = 110,995/x
  3. Step 3: Cross multiply
    51,943x = 110,995 × 110,995
  4. Step 4: Simplify right side
    51,943x = 12,319,890,025
  5. Step 5: Solve for x
    x = 12,319,890,025/51,943
  6. Step 6: Final answer
    x = 237,180.95

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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.