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Finding the Third Proportional to 112,774 and 267,166

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Solution

The third proportional to 112,774 and 267,166 is: 632,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,774 : 267,166 = 267,166 : x
  2. Step 2: Convert to fraction form
    112,774/267,166 = 267,166/x
  3. Step 3: Cross multiply
    112,774x = 267,166 × 267,166
  4. Step 4: Simplify right side
    112,774x = 71,377,671,556
  5. Step 5: Solve for x
    x = 71,377,671,556/112,774
  6. Step 6: Final answer
    x = 632,926.66

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.