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Finding the Third Proportional to 114,668 and 168,632

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Solution

The third proportional to 114,668 and 168,632 is: 247,992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,668 : 168,632 = 168,632 : x
  2. Step 2: Convert to fraction form
    114,668/168,632 = 168,632/x
  3. Step 3: Cross multiply
    114,668x = 168,632 × 168,632
  4. Step 4: Simplify right side
    114,668x = 28,436,751,424
  5. Step 5: Solve for x
    x = 28,436,751,424/114,668
  6. Step 6: Final answer
    x = 247,992.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.