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Finding the Third Proportional to 51,962 and 114,292

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Solution

The third proportional to 51,962 and 114,292 is: 251,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962 : 114,292 = 114,292 : x
  2. Step 2: Convert to fraction form
    51,962/114,292 = 114,292/x
  3. Step 3: Cross multiply
    51,962x = 114,292 × 114,292
  4. Step 4: Simplify right side
    51,962x = 13,062,661,264
  5. Step 5: Solve for x
    x = 13,062,661,264/51,962
  6. Step 6: Final answer
    x = 251,388.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.