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Finding the Third Proportional to 109,336 and 168,676

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Solution

The third proportional to 109,336 and 168,676 is: 260,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,336 : 168,676 = 168,676 : x
  2. Step 2: Convert to fraction form
    109,336/168,676 = 168,676/x
  3. Step 3: Cross multiply
    109,336x = 168,676 × 168,676
  4. Step 4: Simplify right side
    109,336x = 28,451,592,976
  5. Step 5: Solve for x
    x = 28,451,592,976/109,336
  6. Step 6: Final answer
    x = 260,221.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.