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Finding the Third Proportional to 123,992 and 190,200

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Solution

The third proportional to 123,992 and 190,200 is: 291,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,992 : 190,200 = 190,200 : x
  2. Step 2: Convert to fraction form
    123,992/190,200 = 190,200/x
  3. Step 3: Cross multiply
    123,992x = 190,200 × 190,200
  4. Step 4: Simplify right side
    123,992x = 36,176,040,000
  5. Step 5: Solve for x
    x = 36,176,040,000/123,992
  6. Step 6: Final answer
    x = 291,761.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.