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Finding the Third Proportional to 61,992 and 95,094

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Solution

The third proportional to 61,992 and 95,094 is: 145,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,992 : 95,094 = 95,094 : x
  2. Step 2: Convert to fraction form
    61,992/95,094 = 95,094/x
  3. Step 3: Cross multiply
    61,992x = 95,094 × 95,094
  4. Step 4: Simplify right side
    61,992x = 9,042,868,836
  5. Step 5: Solve for x
    x = 9,042,868,836/61,992
  6. Step 6: Final answer
    x = 145,871.55

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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.