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Finding the Third Proportional to 117,698 and 168,135

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Solution

The third proportional to 117,698 and 168,135 is: 240,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698 : 168,135 = 168,135 : x
  2. Step 2: Convert to fraction form
    117,698/168,135 = 168,135/x
  3. Step 3: Cross multiply
    117,698x = 168,135 × 168,135
  4. Step 4: Simplify right side
    117,698x = 28,269,378,225
  5. Step 5: Solve for x
    x = 28,269,378,225/117,698
  6. Step 6: Final answer
    x = 240,185.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.