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Finding the Third Proportional to 51,782 and 110,941

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Solution

The third proportional to 51,782 and 110,941 is: 237,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,782 : 110,941 = 110,941 : x
  2. Step 2: Convert to fraction form
    51,782/110,941 = 110,941/x
  3. Step 3: Cross multiply
    51,782x = 110,941 × 110,941
  4. Step 4: Simplify right side
    51,782x = 12,307,905,481
  5. Step 5: Solve for x
    x = 12,307,905,481/51,782
  6. Step 6: Final answer
    x = 237,686.95

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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.