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Finding the Third Proportional to 126,919 and 168,473

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Solution

The third proportional to 126,919 and 168,473 is: 223,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,919 : 168,473 = 168,473 : x
  2. Step 2: Convert to fraction form
    126,919/168,473 = 168,473/x
  3. Step 3: Cross multiply
    126,919x = 168,473 × 168,473
  4. Step 4: Simplify right side
    126,919x = 28,383,151,729
  5. Step 5: Solve for x
    x = 28,383,151,729/126,919
  6. Step 6: Final answer
    x = 223,632.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.