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Finding the Third Proportional to 126,336 and 189,308

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Solution

The third proportional to 126,336 and 189,308 is: 283,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,336 : 189,308 = 189,308 : x
  2. Step 2: Convert to fraction form
    126,336/189,308 = 189,308/x
  3. Step 3: Cross multiply
    126,336x = 189,308 × 189,308
  4. Step 4: Simplify right side
    126,336x = 35,837,518,864
  5. Step 5: Solve for x
    x = 35,837,518,864/126,336
  6. Step 6: Final answer
    x = 283,668.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.