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Finding the Third Proportional to 71,774 and 154,514

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Solution

The third proportional to 71,774 and 154,514 is: 332,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,774 : 154,514 = 154,514 : x
  2. Step 2: Convert to fraction form
    71,774/154,514 = 154,514/x
  3. Step 3: Cross multiply
    71,774x = 154,514 × 154,514
  4. Step 4: Simplify right side
    71,774x = 23,874,576,196
  5. Step 5: Solve for x
    x = 23,874,576,196/71,774
  6. Step 6: Final answer
    x = 332,635.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.