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Finding the Third Proportional to 61,992 and 134,286

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Solution

The third proportional to 61,992 and 134,286 is: 290,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,992 : 134,286 = 134,286 : x
  2. Step 2: Convert to fraction form
    61,992/134,286 = 134,286/x
  3. Step 3: Cross multiply
    61,992x = 134,286 × 134,286
  4. Step 4: Simplify right side
    61,992x = 18,032,729,796
  5. Step 5: Solve for x
    x = 18,032,729,796/61,992
  6. Step 6: Final answer
    x = 290,888.01

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