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Finding the Third Proportional to 61,122 and 82,467

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Solution

The third proportional to 61,122 and 82,467 is: 111,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,122 : 82,467 = 82,467 : x
  2. Step 2: Convert to fraction form
    61,122/82,467 = 82,467/x
  3. Step 3: Cross multiply
    61,122x = 82,467 × 82,467
  4. Step 4: Simplify right side
    61,122x = 6,800,806,089
  5. Step 5: Solve for x
    x = 6,800,806,089/61,122
  6. Step 6: Final answer
    x = 111,266.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.