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Finding the Third Proportional to 114,463 and 168,269

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Solution

The third proportional to 114,463 and 168,269 is: 247,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,463 : 168,269 = 168,269 : x
  2. Step 2: Convert to fraction form
    114,463/168,269 = 168,269/x
  3. Step 3: Cross multiply
    114,463x = 168,269 × 168,269
  4. Step 4: Simplify right side
    114,463x = 28,314,456,361
  5. Step 5: Solve for x
    x = 28,314,456,361/114,463
  6. Step 6: Final answer
    x = 247,367.76

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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.