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Finding the Third Proportional to 75,336 and 160,668

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Solution

The third proportional to 75,336 and 160,668 is: 342,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,336 : 160,668 = 160,668 : x
  2. Step 2: Convert to fraction form
    75,336/160,668 = 160,668/x
  3. Step 3: Cross multiply
    75,336x = 160,668 × 160,668
  4. Step 4: Simplify right side
    75,336x = 25,814,206,224
  5. Step 5: Solve for x
    x = 25,814,206,224/75,336
  6. Step 6: Final answer
    x = 342,654.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.