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Finding the Third Proportional to 66,992 and 95,222

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Solution

The third proportional to 66,992 and 95,222 is: 135,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,992 : 95,222 = 95,222 : x
  2. Step 2: Convert to fraction form
    66,992/95,222 = 95,222/x
  3. Step 3: Cross multiply
    66,992x = 95,222 × 95,222
  4. Step 4: Simplify right side
    66,992x = 9,067,229,284
  5. Step 5: Solve for x
    x = 9,067,229,284/66,992
  6. Step 6: Final answer
    x = 135,347.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.