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Finding the Third Proportional to 51,284 and 111,314

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Solution

The third proportional to 51,284 and 111,314 is: 241,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284 : 111,314 = 111,314 : x
  2. Step 2: Convert to fraction form
    51,284/111,314 = 111,314/x
  3. Step 3: Cross multiply
    51,284x = 111,314 × 111,314
  4. Step 4: Simplify right side
    51,284x = 12,390,806,596
  5. Step 5: Solve for x
    x = 12,390,806,596/51,284
  6. Step 6: Final answer
    x = 241,611.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.