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Finding the Third Proportional to 103,824 and 162,684

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Solution

The third proportional to 103,824 and 162,684 is: 254,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,824 : 162,684 = 162,684 : x
  2. Step 2: Convert to fraction form
    103,824/162,684 = 162,684/x
  3. Step 3: Cross multiply
    103,824x = 162,684 × 162,684
  4. Step 4: Simplify right side
    103,824x = 26,466,083,856
  5. Step 5: Solve for x
    x = 26,466,083,856/103,824
  6. Step 6: Final answer
    x = 254,912.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.