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Finding the Third Proportional to 51,940 and 110,360

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Solution

The third proportional to 51,940 and 110,360 is: 234,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,940 : 110,360 = 110,360 : x
  2. Step 2: Convert to fraction form
    51,940/110,360 = 110,360/x
  3. Step 3: Cross multiply
    51,940x = 110,360 × 110,360
  4. Step 4: Simplify right side
    51,940x = 12,179,329,600
  5. Step 5: Solve for x
    x = 12,179,329,600/51,940
  6. Step 6: Final answer
    x = 234,488.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.