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Finding the Third Proportional to 104,934 and 163,676

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Solution

The third proportional to 104,934 and 163,676 is: 255,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,934 : 163,676 = 163,676 : x
  2. Step 2: Convert to fraction form
    104,934/163,676 = 163,676/x
  3. Step 3: Cross multiply
    104,934x = 163,676 × 163,676
  4. Step 4: Simplify right side
    104,934x = 26,789,832,976
  5. Step 5: Solve for x
    x = 26,789,832,976/104,934
  6. Step 6: Final answer
    x = 255,301.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.