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Finding the Third Proportional to 104,388 and 168,068

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Solution

The third proportional to 104,388 and 168,068 is: 270,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,388 : 168,068 = 168,068 : x
  2. Step 2: Convert to fraction form
    104,388/168,068 = 168,068/x
  3. Step 3: Cross multiply
    104,388x = 168,068 × 168,068
  4. Step 4: Simplify right side
    104,388x = 28,246,852,624
  5. Step 5: Solve for x
    x = 28,246,852,624/104,388
  6. Step 6: Final answer
    x = 270,594.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.