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Finding the Third Proportional to 51,138 and 110,368

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Solution

The third proportional to 51,138 and 110,368 is: 238,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138 : 110,368 = 110,368 : x
  2. Step 2: Convert to fraction form
    51,138/110,368 = 110,368/x
  3. Step 3: Cross multiply
    51,138x = 110,368 × 110,368
  4. Step 4: Simplify right side
    51,138x = 12,181,095,424
  5. Step 5: Solve for x
    x = 12,181,095,424/51,138
  6. Step 6: Final answer
    x = 238,200.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.